engineers: yeah, should be around (9+12). Put a box around it.

@MichaelMeinberg

Ай бұрын

If we were in a situation where significant digits came into effect, we'd be ignoring the decimels anyway, and 21.25 rounds to 21.... so, close enough for engineering work :D

@Sg190th

Ай бұрын

I was going to do this xd

@TheSuperSayahMan

Ай бұрын

Close enough

@someonespadre

Ай бұрын

Multiply it by 3 for safety

@rathersane

Ай бұрын

If only I weren’t a semiconductor engineer…

i was so confused for a while why it wasnt just 9+12, i think i need to go back to basic geometry classes...

@mikey9252

Ай бұрын

Look again

@wiglett_

Ай бұрын

@@mikey9252 yeah 😭😭

@Lordmewtwo151

Ай бұрын

Probably because the arc shaved off some distance of the line formed by 9 cm and 12 cm compared with the radius.

@user-gm1ty8vu5v

Ай бұрын

It just isn't a circle, just drawn like one, the values are somewhat wrong as well, to make the problem look more beatifull. Nobody wants to see dirty square roots on his plate.

@Lordmewtwo151

Ай бұрын

@@user-gm1ty8vu5v It is supposed to be a quarter circle.

All this to add ".25" to the radius, i'd say that is 21.4 without thinking

@josephpeterson339

27 күн бұрын

Then you would be approximately correct

You can actually see that r is slightly more than 21, so the final answer is most satisfying.

@bakuraryu7773

Ай бұрын

Oh hell yeah my friend, same brain cell 😅😂

@andreaahplay6152

Ай бұрын

Wrong

"how exciting" always gets me

Another way to arrive at x = 13/4: Use the intersecting chord theorem by filling out the rest of the circle and extending the 12 cm segment horizontally until it hits the circle’s left side (that will make the chord 12 + 9 + 21 long). Similarly, extend the 16 cm segment vertically to hit the circle’s bottom (chord length 16 + x + 16 + x). Then you have the relation: (12)(30) = (16) (16+2x), giving x = 13/4.

@shadowofdarkness3880

Ай бұрын

From there you can also use another formula to find the radius! The formula is x^2 + y^2 + z^2 + t^2 = 4r^2 with each letter representing a segment of intersecting chords, that was how i managed to get the answer. (Be aware that this formula can only be used if the chords are perpendicular to each other)

Great animation, If I had this description and animation in grade 2 i probably would’ve understood it!😊

Blue jaguar! I like your videos, keep making them 👍

Never stop making uploading i dont know what i'd do without these videos😞

hey andy i really appreciate you showing all the steps, i know how to do the rest once u do the first few steps but i wish my teachers would show ALL their work when i was learning this stuff. really helpful for those who aren’t familiar with the techniques

@boneyboi

19 күн бұрын

i actually tried to get rid of a hair on my screen

@redneckcoder

11 күн бұрын

If students have to show all work, so should teachers!

Blue deer! I ALWAYS read the description box!

Man, I struggle with this stuff but I’m going to keep trying until it makes more sense.

@th3smurf692

Ай бұрын

It's all practice bro dw. Are you in engineering class?

I love how you explain seemingly complex thing in a simple way. Nice video Andy!!

Great explanation of the full process.

Nice one again, keep up the good work

That was pretty slick mate, I enjoyed that.

Thank you so much for these question, I want to be a scientist and you gave me a good practice of math.

I'm partial to forest green and I love the Manta Ray.

Gotta admit it did confuse me lol but I liked the part with the yellow gecko :)

It is best to do it with coordinate geometry as follows If the center of the circle is the assumed origin then the equation of the circle would be x^2 + y^2=r^2 Point A which lies on the top end of the 16cm line has coordinates (9,16+k) where k is the clearance of the 16cm line from the ground and the point B on the circle which is the right end of the 12cm line has coordinates (21,k) We have two equations that correlates R and k. Solve and you are done

@llll-lk2mm

Ай бұрын

that's a prettier way to do it

@LucasEccard

Ай бұрын

I mean, its the same solution, since the equation os the circle is literally the Pythagorean theorem with x and y 😅. But everything goes if its easier for u to get the equations this way

@ryotoiii7945

Ай бұрын

Point B has coordinates (21, k), no?

@sauravrao234

Ай бұрын

@@ryotoiii7945 my bad...I will correct it

Red sloth! I find these videos really helpful

Im in 6th grade and this guy did it in a way i could understand. good job man!

Gotta love problem solving.

Cool stuff, I always forget you can draw radii as much as you want 😓 Emerald Spider

Good problem! My solution was identical, so I wonder if there's a significantly different way to approach this.

turquoise bison man i love this one

Put a box *inside* the quarter-circle; put a box *around* the answer. How exciting!

How exciting!

It was really easy, but glad to solve it Thanks bro

I would never solve it by myself, but now i know how,thank you !

How exciting! Dont you love pink capybaras?

Able to do that by myself, feel like still worthy

I not only like maths but also your vids

blue capybara

Very exiting indeed

i really like geometry, i can't believe that people can't understand the simpler things like this!

How exciting indeed!

That was awesome

Problem got its own problem.

Hello, I am from China and am a middle school mathematics teacher. Can you tell me which software is used for the demonstration? I want to use it for my students，万分感谢

Green octopus!

Blue Aardvark.

I used a very similar method, but only one variable.

Hey I love your videos! Where do you/dis you go to college?

I use these shape video's to help me draw in fusion 360. Thx

I watch your videos while I shower so that I always start my day with some math 👍🏽 how exciting

One day I will figure out the puzzle solo 😔

I eyeballs it at 21.smidge so pretty happy with the result.

Thanks a very good video

How exciting 😊

my favorite colour is honestly beige and my favorite animal is capybara😀

Oh, that was much less convoluted than what I did. I drew the segment bisector on the chord, knowing that it goes through the center of the circle, and used similar triangles. I guess your solution is fine too.

I feel like he made things excessively harder by not just using decibels and continually using fractions. It added so many more steps than if he just simplified his fractions to decimals as he went.

EXCITING. SO EXCITING.

Nice one

i solved it in basically the same way, but i just used decimals instead of messing around with fractions.

Turquoise crab

green narwhal!

@AndyMath

Ай бұрын

Love it!

@balloonicornv1496

Ай бұрын

Agreed.

Nice geometry problem❤

This might actually might be regarded

"It's a little more than 21. Next..."

purple, alpaca

green cat ...am i the only one that did this?

Carry a ruler. Measure the lenght of a known line. Measure the lenght of the radius. Use this ratio to get the actual lenght of the radius. Problem solved. Used this shortcut plenty in school and college. Works especially well for MCQs when time is a factor.

Teal beaver.

Purple axolotl

Blue Koala If you have no idea what I'm talking about, you're just streets behind.

Yes, needing two ways to verify x in simultaneous equations. I got there eventually, but it took me a while to figure out where to make the second equation.

i really thought this video was a joke until i realized the 12 cm line is not hittin the actual edge of the circle

How exciting

@polyflo2010

Ай бұрын

Amazing

green giraffe

Purple panda heheh

Purple vulture!

Blue penguin!

Black, Red Panda !

Orange Seagull

Little bit too fast, but very nice. Good job man.

Purple Maned Wolf

pink squirrel baybeeee

blue and idk about animal but hey your smart.

I liked the deep RRR xD

@kaitek666

Ай бұрын

deep hard R 💪

Blue rhino!

Классное объяснение, вы учитель от бога.

white mantis

Blue Chameleon

Black Iguana

Green tiger

orange cat? orange cat!

blue seal

This is the process which my teacher want me to do 😂

Purple Fox

where do you find these questions?

blue elephant

hella clever

Blue German shepherd

Pink Catfish

green cat

Green turtle 🐢

Pink penguin

me: pfff.. 21 look at video length: hmmm