This video really improved my knowledge about area of a sector rads and others sending in confirmation representing Zambia 🇿🇲

Yes, thank you. Love your teaching. Learnt soooo much. Please, keep up these wonderful videos.❤

I derived the area of sector in another way: For a unit circle,the area of circle or sector is proportional to its arc length I.e Area of sector/Area of circle=theta/2π multiply the Nr. and Dr. by r^2/2. Hence we get the area of sector=1/2theta×r^2.

Simpler put: a radian is the length of the arc of given circle equal to the length of radius of that circle.

I learnt a lot about math in this lesson Sir Jason!I think your mission is Accomplished 🎉

@MathAndScience

Жыл бұрын

Awesome!

Thank you, all your videos are excellent

Step 1. Draw a square, 2 diagonals and inscribe a circle in the square. Thereby side and diameter will be the same Step 2 : Subtract 2 diagonals from the perimeter of square Step3. Divide step2 with 8 Step4. Add 3 times of the side. to Step 3 At the end we get the EXACT circumference of the inscribed circle.

This was really helpful. Thanks For this teacher!

Many people wonder why radians do not appear when we have radians * meters. Here is an attempt at an explanation: Let s denote the length of an arc of a circle whose radius measures r. If the arc subtends an angle measuring α = n°, we can pose a rule of three: 360° _______ 2 • 𝜋 • r n° _______ s Then s = (n° / 360°) • 2 • 𝜋 • r If α = 180° (which means that n = 180), then s = (180° / 360°) • 2 • 𝜋 • r The units "degrees" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r that is, half of the circumference 2 • 𝜋 • r s = 𝜋 • r If the arc subtends an angle measuring α = θ rad, we can pose a rule of three: 2 • 𝜋 rad _______ 2 • 𝜋 • r θ rad _______ s Then s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r If α = 𝜋 rad (which means that θ = 𝜋), then s = (𝜋 rad / 2 • 𝜋 rad) • 2 • 𝜋 • r The units "radians" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r that is, half of the circumference 2 • 𝜋 • r s = 𝜋 • r If we take the formula with the angles measured in radians, we can simplify s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r s = θ • r where θ denotes the number of radians (it does not have the unit "rad"). θ = α / (1 rad) and θ is a dimensionless variable. However, many consider θ to denote the measure of the angle and for the example believe that θ = 𝜋 rad and radians * meter results in meters. Mathematics and Physics textbooks state that s = θ • r and then θ = s / r It seems that this formula leads to the error of believing that 1 rad = 1 m / m and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI). In the formula s = θ • r the variable θ is a dimensionless variable, it is a number without units, it is the number of radians. When confusing what θ represents in the formula, some mistakes are made in Physics in the units of certain quantities, such as angular velocity.

" Thank you so much incredible teach you're amazing in everything"

Good work sir still waiting for part two

In the formula Acs = (1 / 2) • θ • r^2 the θ denotes the number of radians (it does not have the unit "rad").

Awesome!

If I had the formulas on a cheat sheet I could do pretty well with this!

Thanks alot ❤

Wow that's wonderful lesson thank you very much dear teacher keep going 💕💕💕

@MathAndScience

Жыл бұрын

Thank you!

Jason, when I first watched you in 2020, I was studying business administration and economics. After watching your videos, and seeing that I actually understand math, I now study machine learning and math at university. Thank you for changing the trajectory of my life so much. Sometimes all it takes is one video! 😊

@MathAndScience

Жыл бұрын

So happy to hear this! Great job and good luck to you!

Thank you v much indeed Sir.

@MathAndScience

Жыл бұрын

Welcome!

Can i use this in mathematics??

Triva / Word Problem for ya: A Shadow moves at 15 degrees per hour. (give ro take a litttle) Using the math from the video create the formula / requirements for a sundial or a 'Math-Henge' to track the Solstice / Equinox Note: I couldn't do it. ☻

Born great

Arc length 👍 From memory... Theta x radius x pie / 180

Sir you will live long

@MathAndScience

Жыл бұрын

I hope so, and you too!

@atampurijonah6095

Жыл бұрын

@@MathAndScience Amen

@atampurijonah6095

Жыл бұрын

@@MathAndScience Amen

❤

WOW 🥰🥰🥰

shoutout from Sweden 🇸🇪🤪💪

@MathAndScience

Жыл бұрын

I’d love to visit one day!

sir please talk to slwoly

@user-xz2gu5du5c

5 ай бұрын

Sir please know how to spell slowly-

@Layman-nj5xf

3 ай бұрын

Sir please listen faster.

first👍😎

WOW HOW ABOUT THE OLD {PIE ARED SQUARED DIVIDED BY 360/ TIMES DEGREES?? IF YOU CAN`T EXPLAIN TOO A 6 YEAR OLD/ YOU YA YOU DON`T UNDERSTAND

@randyangel0240

2 ай бұрын

AND THE ARC LENGTH? DIA, TIMES PI. DIVIDED BY 360/ TIMES ANGLE

@annegathoni6012

27 күн бұрын

Ukochini 😂