Circle Theorems - GCSE Higher Maths

A video explaining how to use and understand circle theorems for GCSE Higher Maths.
Exam Question Booklets:📝
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0:00 Introduction
0:36 Angles in the same segment theorem
2:05 Angle in a semi circle theorem
2:52 Angle at the centre theorem
3:31 Opposite angles in a cyclic quadrilateral theorem
4:31 A tangent meets a radius theorem
4:55 Tangents from a point
5:55 Alternate Segment Theorem
6:44 All theorems on one page
6:56 Worked example
8:06 Second example
11:06 Third example
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Пікірлер: 263

  • @hr11shs
    @hr11shsАй бұрын

    got my gcse tomorrow. thanks for the helpful video

  • @alvaro63168

    @alvaro63168

    Ай бұрын

    fr

  • @meganchicken4159

    @meganchicken4159

    Ай бұрын

    same good luck ahhhh

  • @MKing-io3su

    @MKing-io3su

    Ай бұрын

    Frr

  • @gachacatproductions431

    @gachacatproductions431

    Ай бұрын

    Same good luck 🤞

  • @subii_0

    @subii_0

    Ай бұрын

    Got my GCSEs in an hour

  • @dixztube
    @dixztube2 ай бұрын

    I’m 40 learning this stuff for fun now and this is stuff hs kids are learning. That’s awesome, do great things kiddos

  • @MassiveMinorityMuncher-P.O.P

    @MassiveMinorityMuncher-P.O.P

    2 ай бұрын

    actually i might

  • @f0xt3r11

    @f0xt3r11

    2 ай бұрын

    I'm 14 and learning this at school, don't quite understand how this is fun 😭

  • @DarkShady8

    @DarkShady8

    Ай бұрын

    @@f0xt3r11 ikr even my exams are due to start in 10 days and i still dont understand how now how funs that?

  • @kiiz9420

    @kiiz9420

    Ай бұрын

    @@f0xt3r11im 14 and same

  • @The-Survivalist1

    @The-Survivalist1

    Ай бұрын

    for. FUN?

  • @iexpertabdul199
    @iexpertabdul19923 күн бұрын

    Watching this 5 hours before my exam wish me luck

  • @RamaAbuaisheh
    @RamaAbuaishehАй бұрын

    Watching this 2 hours before the exams 🕺🕺

  • @kaithecrusader7061

    @kaithecrusader7061

    28 күн бұрын

    howd it go?

  • @Slicedits47

    @Slicedits47

    22 күн бұрын

    Same here

  • @mr.nightly6272

    @mr.nightly6272

    5 күн бұрын

    real

  • @davidstanislaus948
    @davidstanislaus948Ай бұрын

    this explanation is better than teaching on a board...thank you so much ...God bless U🤩

  • @miriamcollins7587
    @miriamcollins75872 ай бұрын

    These are way better than the theorems and how they’re presented in American texts. Nicely done.

  • @GordonfuckingRamsay

    @GordonfuckingRamsay

    2 ай бұрын

    and english

  • @olivermathiasen3594

    @olivermathiasen3594

    Ай бұрын

    Im not suprised

  • @joshuawicks6534

    @joshuawicks6534

    25 күн бұрын

    My teacher always talked about angles "subtended"

  • @user-lx4xj3xf6m
    @user-lx4xj3xf6m3 ай бұрын

    You actually made me understand circle theorems thank uuu

  • @sullygamingx5533
    @sullygamingx55332 ай бұрын

    Honestly just an amazing video, thank you so much.

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    You're very welcome!

  • @3_ormorecharacters
    @3_ormorecharacters2 ай бұрын

    literal lifesaver oml 🙏

  • @roge2342
    @roge2342Ай бұрын

    Just wanted to say, as someone studying this from Brazil, your channel is an amazing gem, keep up the great work and thank you 🙏

  • @DannyOF

    @DannyOF

    Ай бұрын

    from brazil is mad 😭🙏🙏

  • @azeemrazzaque9949

    @azeemrazzaque9949

    22 күн бұрын

    u play minecraft 😭🙏🏼​@@DannyOF

  • @DannyOF

    @DannyOF

    22 күн бұрын

    @@azeemrazzaque9949 ????

  • @DannyOF

    @DannyOF

    22 күн бұрын

    @@azeemrazzaque9949 ???

  • @robert8552
    @robert85522 ай бұрын

    Very well presented - Thank you!

  • @johnpapadopoulos9057
    @johnpapadopoulos90572 ай бұрын

    What a rich review of geometric Relations. Thank you. 10:01 10:04

  • @CoolReacts-ud2nh
    @CoolReacts-ud2nh26 күн бұрын

    I was in a 2 hour class about circle theorems and this video helped me more than that class

  • @gundomahmud5617
    @gundomahmud5617Ай бұрын

    The day after tomorrow I'm writing ,, Man your a life saver

  • @amyyamyamyy
    @amyyamyamyy22 күн бұрын

    good luck to everyone watching 30 minutes before the exam

  • @Extraterrestrial-Rizar13
    @Extraterrestrial-Rizar133 ай бұрын

    You've done what I thought I'd never do .....understanding the Circle cause I know it now oh my God 😢❤ I'm no longer afraid

  • @piediepew3464
    @piediepew3464Ай бұрын

    I have igcse math exam tomorrow pray for me guys

  • @deardemuredawn...5548

    @deardemuredawn...5548

    Ай бұрын

    Same😭

  • @user-vj7kv6ov7g

    @user-vj7kv6ov7g

    Ай бұрын

    same, good luck !

  • @adamdahir779

    @adamdahir779

    Ай бұрын

    same wish you the best

  • @user-be2zk7xx4n

    @user-be2zk7xx4n

    Ай бұрын

    God bless you

  • @xoxoxie0

    @xoxoxie0

    Ай бұрын

    Same 😢

  • @user-vj7kv6ov7g
    @user-vj7kv6ov7gАй бұрын

    your explanation and the way you deliver the idea is amazing, also love the amount of examples thank you.

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    Glad you liked it!

  • @khowlaovais4947
    @khowlaovais49472 ай бұрын

    Thank you so much I really appreciate the use of different colors to explain the concept

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    Glad it was helpful!

  • @sam-12345
    @sam-123452 ай бұрын

    i have a math test in 2 hours 😭

  • @BabahBekrine

    @BabahBekrine

    2 ай бұрын

    Bro😂😂😂 never do that again every thing should be in his time 🫡

  • @karlosm8466

    @karlosm8466

    2 ай бұрын

    So, how did it go?

  • @d1m1chess

    @d1m1chess

    2 ай бұрын

    What score did you get

  • @rojer9542

    @rojer9542

    2 ай бұрын

    I had a math test in 1988😊

  • @lebogangmohale2791

    @lebogangmohale2791

    2 ай бұрын

    Story of my life right here, watching KZread videos hours before a test.😮‍💨

  • @tsegaasfaw742
    @tsegaasfaw7422 ай бұрын

    Really like the way you teach. Thank you very very much.

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    You are welcome!

  • @elitesxope179
    @elitesxope1793 ай бұрын

    thanks this was very helpful👍

  • @mima4287
    @mima428724 күн бұрын

    Very useful. Thank you.

  • @jitudash4910
    @jitudash4910Ай бұрын

    Excellent explanation

  • @user-zg9mo8oi2m
    @user-zg9mo8oi2m2 ай бұрын

    Thank you very much that will help

  • @prasadakalli9169
    @prasadakalli91692 ай бұрын

    Excellent , Thanks

  • @user-jm5qt2cg9w
    @user-jm5qt2cg9w11 ай бұрын

    So underrated tysm

  • @1stClassMaths

    @1stClassMaths

    11 ай бұрын

    No problem 😊

  • @Slicedits47
    @Slicedits4722 күн бұрын

    Thank your mind so much this video is sooo clear

  • @GongyiXiao
    @GongyiXiaoАй бұрын

    Got my iGCSE exams tomorrow at 10AM. 12 hours left. Thank you for this video, it’s super helpful! Let’s hope I crush this test :D

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    GL

  • @pinkflamingo_

    @pinkflamingo_

    Ай бұрын

    how was it

  • @Jimmy-fr1ig

    @Jimmy-fr1ig

    Ай бұрын

    @@pinkflamingo_90% chance she doesn’t respond 💀 they never do

  • @GongyiXiao

    @GongyiXiao

    Ай бұрын

    @@pinkflamingo_ it was really good! No circle theorems came up on it but I bet that just means that P4 (which I’ve got tmrw) is packed with them. I made a few mistakes but I calculated the lowest I can get and it’s around a 85%, so I think it’s a guaranteed A :D

  • @GongyiXiao

    @GongyiXiao

    Ай бұрын

    @@Jimmy-fr1ig defied the odds 🔥

  • @tewoot2716
    @tewoot2716Ай бұрын

    Watching this 1 hour before my exam 😀

  • @sandhyaprabhu6996
    @sandhyaprabhu69968 күн бұрын

    astounding!!

  • @charliemusleh5842
    @charliemusleh584217 күн бұрын

    Preach 🙌🙌

  • @RoyZuva
    @RoyZuva2 ай бұрын

    Thank you very much, l now get it and i am gonna ace my exams.

  • @anjala4592
    @anjala45923 ай бұрын

    I have a mock exam today I hope I pass because of your videos

  • @1stClassMaths

    @1stClassMaths

    3 ай бұрын

    Hope it went ok!

  • @raven_4744

    @raven_4744

    2 ай бұрын

    Did you pass?

  • @MuhammadUmar-zb6hf

    @MuhammadUmar-zb6hf

    2 ай бұрын

    Bro how it went?

  • @muhammadhuzaifa3189

    @muhammadhuzaifa3189

    Ай бұрын

    Did you pass or not?

  • @antoniocarlosguedesdeolive8744
    @antoniocarlosguedesdeolive874413 күн бұрын

    Thank You for help me.

  • @captainchaos1741
    @captainchaos1741Ай бұрын

    Just started revising today. Got my exam tomorrow 😭

  • @amerking9798

    @amerking9798

    Ай бұрын

    Same

  • @ClaireForsyth

    @ClaireForsyth

    25 күн бұрын

    bro i’m learning this whole unit at 11pm bc i was away on medical leave and my teacher won’t cut me any slack

  • @Al-Rehman-km4cw
    @Al-Rehman-km4cwАй бұрын

    1: Angles in same segment are equal. 2:angles in a semicircle or on diameter is right angle mean 90°.3: the angle at the centre is twice the angle at the circumference.

  • @siphodhliwayo9154
    @siphodhliwayo91542 ай бұрын

    My fav topic. Now I can attack it without fear🎉🎉🎉

  • @elizaclouds
    @elizaclouds22 күн бұрын

    Thank you!

  • @mianali9339
    @mianali9339Ай бұрын

    Such a good short summary of theorems❤❤ Imagine watching this an hour before the exams😂😅

  • @Wieisdustybun

    @Wieisdustybun

    23 күн бұрын

    Then you're either going to get there and not remember anything or you will remember everything.

  • @user-rz9vm9oe5n
    @user-rz9vm9oe5n3 ай бұрын

    Thank you so much sir.. you have helped me to understand circle theorem better 🙏

  • @1stClassMaths

    @1stClassMaths

    3 ай бұрын

    You are most welcome

  • 2 ай бұрын

    Thanks!

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    Thank you very much for this! 💙

  • @minaalwaseem3976
    @minaalwaseem3976Ай бұрын

    got my gcse today wish me luck :)

  • @maheemtxt7
    @maheemtxt723 күн бұрын

    got p2 tmrw muchas gracias aficio esto es para vosotros siuuuuuuuuu

  • @tastyfood2020
    @tastyfood2020Ай бұрын

    Thank you so much 😘💕

  • @jonathanaryee3505
    @jonathanaryee35052 ай бұрын

    Thanks Sir

  • @alittax
    @alittax2 ай бұрын

    For anyone interested, here's a video where they prove these theorems: kzread.info/dash/bejne/daGk1LKQk6_anM4.html

  • @bouazabachir4286
    @bouazabachir4286Ай бұрын

    Thanks a lot professor I follow you from Algeria

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    You are very welcome

  • @chimaths-class
    @chimaths-class15 күн бұрын

    Great 👍

  • @shazansharafath2155
    @shazansharafath2155Ай бұрын

    I'm watching this video 4 hours before the Edexcel IGCSE 9-1 Mathematics Higher tier

  • @RayVicTv
    @RayVicTv3 күн бұрын

    The angle at the centre is twice the angel at the circumference, so the centre rather had the be 50 and the circumference 100, I guess

  • @gianinamazurchevici5501
    @gianinamazurchevici550123 күн бұрын

    Have you an idea? How can I solve this problem, please? Given a square ABCD of side 10 cm, and using the corners as centers ,construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P,Q, R and S . Find the area enclosed by PQRS. Thank you so much .

  • @user-xl4uc4fu4k
    @user-xl4uc4fu4k2 ай бұрын

    Hello thank you so much. Is isoceles triangle's angle 35°?

  • @dhxlzz_
    @dhxlzz_28 күн бұрын

    thanks bro very helpful

  • @1stClassMaths

    @1stClassMaths

    28 күн бұрын

    No problem bro.

  • @ronksx
    @ronksxАй бұрын

    watching this an hour and 20 mins before my paper 1 gcse x

  • @soobeanies

    @soobeanies

    Ай бұрын

    same

  • @JacobMelia0046

    @JacobMelia0046

    28 күн бұрын

    circle theorems is paper 2 and three lol

  • @EagerTaurus-cd7kf
    @EagerTaurus-cd7kf2 ай бұрын

    God bless you 🙏

  • @lanapieterse4918
    @lanapieterse491819 күн бұрын

    could you please do a video on euclidean geometry?

  • @cantinflashpinhap2066
    @cantinflashpinhap20662 ай бұрын

    Muchas gracias por tomarte la molestia de hacer este precioso video.

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    No problem!

  • @rishipatel9173
    @rishipatel91732 күн бұрын

    Best teacher on god

  • @tntgamerking6673
    @tntgamerking667321 күн бұрын

    What if we have to calculate the length in eaxh of em?

  • @HudhaThauqeer
    @HudhaThauqeer2 ай бұрын

    Literally my sir did not explain this properly so when I watched this video I understood the concept

  • @joshuawicks6534
    @joshuawicks653422 күн бұрын

    Forgot until I was sitting the paper today that we do AQA maths not edexcel

  • @chandrakiranchandravanshi1989
    @chandrakiranchandravanshi1989Ай бұрын

    thankyou

  • @user-tb3iq2rd5k
    @user-tb3iq2rd5kАй бұрын

    Congrats on 100k views!

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    Thanks for pointing this out! I hadn't realised. That's incredible!

  • @fortdayexe
    @fortdayexe26 күн бұрын

    Example 2: It's much easier: ACD = 35°; because the legs of the triangle are the same lenght ACB = 90°; same reason (Diameter) DCE = 35° (Last theorem) FCB = 180° - 35° - 35° - 90° = 20°

  • @candyymelttt
    @candyymelttt15 күн бұрын

    I have mu igcse maths b paper 2 in 2hours. Pray for me guys. 😭

  • @MathEducation100M
    @MathEducation100MАй бұрын

    Nice

  • @wxrqz9
    @wxrqz94 ай бұрын

    thanks u need more views :)

  • @1stClassMaths

    @1stClassMaths

    4 ай бұрын

    Thanks. The algorithm doesn't like me so much though :D

  • @craigbenz4835
    @craigbenz48352 ай бұрын

    How does one find the smallest circle that will include three points? What about ten points?

  • @jade_7111
    @jade_7111Ай бұрын

    2 hours b4 the first maths one yess I love maths but circle theorems literally made me cry

  • @ae-tm8dg
    @ae-tm8dgАй бұрын

    watching this half an hour before my exam

  • @gmshakir7148
    @gmshakir7148Ай бұрын

    Honorable Maths expert i have a question entangled with, can you solve it for me being a generous maths expert please?

  • @maryamtayeworktessera5145
    @maryamtayeworktessera51459 күн бұрын

    In the question Find BCF isn't angle ADC and angle ABC equal because they are angles from the same segment??

  • @rusulammar6346
    @rusulammar6346Ай бұрын

    In my country we’re studying this at 8th grade, it’s easy but a lot to learn

  • @mihalidemetriou2232
    @mihalidemetriou223222 күн бұрын

    1 hour before my exam 🫠

  • @LexiAman

    @LexiAman

    22 күн бұрын

    45 mins left

  • @terabaaphun2903
    @terabaaphun29038 ай бұрын

    in my revision guide there are 9 theorems

  • @toheedshafique8971
    @toheedshafique89713 ай бұрын

    how did you know for the last example that the angle at the circumference was double that at the centre was applied to angle CAB and not ABC?

  • @1stClassMaths

    @1stClassMaths

    3 ай бұрын

    The angle at the centre and circumference must start and end at the same points. COB and CAB both start at C and end at B so they come from the chord CB. Angle ABC however comes from the chord AC.

  • @_OwO_96
    @_OwO_96Ай бұрын

    underrated aff, tysmm i hate this topic

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    Do you like it now? :D

  • @user-sz3de1mt6v
    @user-sz3de1mt6v2 ай бұрын

    Im know more in my class with this

  • @user-sz3de1mt6v

    @user-sz3de1mt6v

    2 ай бұрын

    5:07 nice

  • @user-uc9rx7zn6c
    @user-uc9rx7zn6c2 ай бұрын

    Exam in 2hrs😅

  • @user-es1pk4og1z
    @user-es1pk4og1z2 ай бұрын

    best videos!!! but just one question, are there not 8 Theorems? the one that goes " the radius through a midpoint of a chord will bisect the chord at 90 degrees"

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    Hi yes you're correct. This theorem is almost never used but you can find it in my proof of circle theorems video.

  • @user-es1pk4og1z

    @user-es1pk4og1z

    2 ай бұрын

    @@1stClassMaths ok thanks!!!

  • @arshaankhan7078
    @arshaankhan70782 ай бұрын

    Is this Edexcel or aqa - and most of videos in this playlist as well?

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    It applies to all exam boards

  • @SchoolAccount-kw7tw
    @SchoolAccount-kw7tw24 күн бұрын

    11:54 is it not angles of the same segment? Isn't angle CAB and COB 58°? I'm so confused 😕😭 Or does it have to be on the circumference for the theorem (angles in the same segment) to apply?

  • @1stClassMaths

    @1stClassMaths

    24 күн бұрын

    For the angles in the same segment they both need to be on the circumference. I think you worked this one out yourself :)

  • @M1Miketro
    @M1Miketro2 ай бұрын

    8:07 The way I used is slightly simpler. ACD = CAD = 35º ADC = 180º - ACD - CAD = 110º ADB = 90º BDC = ADC - ADB = 20º BCF = BDC = 20º

  • @1stClassMaths

    @1stClassMaths

    2 ай бұрын

    Thanks for sharing, although I am not sure it is really any simpler? There are often many ways to approach circle theorems questions. As long as you're clear it's all good!

  • @freshestmajesty978
    @freshestmajesty978Ай бұрын

    i have math paper 4 in less than 12 hrs i hope i understand it and do well

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    Good luck!

  • @tiatamaraio
    @tiatamaraioАй бұрын

    my exam is tomorrow and this topic still confuses me 😢

  • @-unknown-7662
    @-unknown-7662Ай бұрын

    Is it ok to call the angle at circumference "an inscribed angle" ?

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    It would seem so. I never used this though. People tend to say the angle at the circumference.

  • @pheonix0_0
    @pheonix0_02 ай бұрын

    I feel like animations help me to better understand

  • @gmshakir7148
    @gmshakir7148Ай бұрын

    Sir I have only two questions please can you solve them for me

  • @QC_TTP
    @QC_TTPАй бұрын

    Less than 12 hours till my exam am i cooked?

  • @Miraj1006

    @Miraj1006

    Ай бұрын

    nuh uh, if ur revising circle theorems then you must have at least enough knowledge to pass

  • @emolic4171

    @emolic4171

    Ай бұрын

    Less than 2 hours until exam,,. Probably not cooked

  • @j32.ent...74
    @j32.ent...74Ай бұрын

    Half an hour before exam 😅😅

  • @woki68
    @woki6815 күн бұрын

    might it be over

  • @gtwtox1c64
    @gtwtox1c643 ай бұрын

    I have a question for third example cant we use the bowtie theorem ?? Like for CAB because they are in the same segment 12:27

  • @1stClassMaths

    @1stClassMaths

    3 ай бұрын

    This applies when both angles are at the circumference but in this one COB is at the centre.

  • @haveagoodday843

    @haveagoodday843

    3 ай бұрын

    ye thats what i thought as well!

  • @cesarcamargodiaz8578
    @cesarcamargodiaz857826 күн бұрын

    Go,go without afaid to the exit

  • @travisbeckey8061
    @travisbeckey8061Ай бұрын

    Watching this 2 hours before non calculator gcse

  • @user-is5sx7xj3h
    @user-is5sx7xj3h6 күн бұрын

    Why half 122?

  • @meganchicken4159
    @meganchicken4159Ай бұрын

    6:38 Are all of these angles equal??

  • @1stClassMaths

    @1stClassMaths

    Ай бұрын

    No just blue and blue and then green and green. Blue = blue Green = green Blue is not equal to green.

  • @meganchicken4159

    @meganchicken4159

    Ай бұрын

    @@1stClassMaths Thank you for the reply! These videos are helping so much

  • @abenezerwondewosen
    @abenezerwondewosen3 ай бұрын

    ls the diameter a chord

  • @1stClassMaths

    @1stClassMaths

    3 ай бұрын

    Yes

  • @Certified_L0ner
    @Certified_L0nerАй бұрын

    Maths gcse in 8 hours 🙆🏾‍♀️🙏🏾

  • @rim2675
    @rim26752 ай бұрын

    i’m unable to understand the alternate segment theorem

  • @Jamx-zo2gj

    @Jamx-zo2gj

    2 ай бұрын

    The angle formed between a chord and a tangent is equal to the alternate angle at the circumference