This video really improved my knowledge about area of a sector rads and others sending in confirmation representing Zambia 🇿🇲
@n3x-n3xus
Жыл бұрын
I learnt a lot about math in this lesson Sir Jason!I think your mission is Accomplished 🎉
@MathAndScience
Жыл бұрын
Awesome!
@goodrails
Жыл бұрын
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. ☻
@johnmwebela2226
Жыл бұрын
Can i use this in mathematics??
@hemrajue3434
Жыл бұрын
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.
@heatherbartusch5239
Жыл бұрын
Yes, thank you. Love your teaching. Learnt soooo much. Please, keep up these wonderful videos.❤
@sarvajagannadhareddy1238
5 ай бұрын
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.
@JoséAntonioBottino
7 ай бұрын
In the formula Acs = (1 / 2) • θ • r^2 the θ denotes the number of radians (it does not have the unit "rad").
@drumtwo4seven
Жыл бұрын
Arc length 👍 From memory... Theta x radius x pie / 180
@wilkyclergeot9416
Жыл бұрын
" Thank you so much incredible teach you're amazing in everything"
@simplytrencher
27 күн бұрын
It’s confusing
@JoséAntonioBottino
7 ай бұрын
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 β = n°, we can pose a rule of three: 360° _______ 2 • 𝜋 • r n° _______ s Then s = (n° / 360°) • 2 • 𝜋 • r If β = 180° (which means that n = 180, the number of degrees), then s = (180° / 360°) • 2 • 𝜋 • r The units "degrees" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r s = 𝜋 • r that is, half of the circumference 2 • 𝜋 • r. If the arc subtends an angle measuring β = 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 β = 𝜋 rad (which means that θ = 𝜋, the number of radians), 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 s = 𝜋 • r that is, half of the circumference 2 • 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 = β / (1 rad) and θ is a dimensionless variable [rad/rad = 1]. 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 rad • m = m since, according to them, the radian is a dimensionless unit. This solves the problem of units for them and, as it has served them for a long time, they see no need to change it. But the truth is that the solution is simpler, what they have to take into account is the meaning of the variables that appear in the formulas, i.e. θ is just the number of radians without the unit rad. Mathematics and Physics textbooks state that s = θ • r and then θ = s / r It seems that this formula led to the error of believing that 1 rad = 1 m/m = 1 and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI), when in reality θ = 1 m/m = 1 and knowing θ = 1, the angle measures β = 1 rad. 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 speed. My guess is that actually the angular speed ω is not measured in rad/s but in (rad/rad)/s = 1/s = s^(-1).
@MathWay-hd3vi
5 ай бұрын
This was really helpful. Thanks For this teacher!
@frankroper3274
Жыл бұрын
If I had the formulas on a cheat sheet I could do pretty well with this!
@IsholaKaotharolabisi
6 ай бұрын
WOW 🥰🥰🥰
@sekarsekarambika5694
2 ай бұрын
🤯🤯🤯🤯🤯🤯🤯🤯🤯
@Loghat-wa-Fonoun
Жыл бұрын
Thank you, all your videos are excellent
@yuusufliibaan1380
Жыл бұрын
Wow that's wonderful lesson thank you very much dear teacher keep going 💕💕💕
@MathAndScience
Жыл бұрын
Thank you!
@atampurijonah6095
Жыл бұрын
Sir you will live long
@MathAndScience
Жыл бұрын
I hope so, and you too!
@atampurijonah6095
Жыл бұрын
@@MathAndScience Amen
@atampurijonah6095
Жыл бұрын
@@MathAndScience Amen
@PrivinaSimoonga-ox6pd
8 ай бұрын
Good work sir still waiting for part two
@DoreenCedrick
7 ай бұрын
Thanks alot ❤
@Champagneyear
Жыл бұрын
shoutout from Sweden 🇸🇪🤪💪
@MathAndScience
Жыл бұрын
I’d love to visit one day!
@simongozah66
Жыл бұрын
Born great
@naderhumood1199
Жыл бұрын
Thank you v much indeed Sir.
@MathAndScience
Жыл бұрын
Welcome!
@shawnd.8498
Жыл бұрын
Awesome!
@EvelynWin-lz6wd
10 ай бұрын
❤
@satioOeinas
Жыл бұрын
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!
@wlmarvin
Жыл бұрын
first👍😎
@randyangel0240
4 ай бұрын
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
4 ай бұрын
AND THE ARC LENGTH? DIA, TIMES PI. DIVIDED BY 360/ TIMES ANGLE
Пікірлер: 42