Area of Part of Circle Shaded Region | Math Geometry Question #shorts #math #mathematics

[andreihamor]

Quick tip: you can also logically use the choices

area of the circle: 9π
area of 1/4 of the circle (90°) = 9/4π or 2.25π

Because 90° > 80° the answer should be less than 2.25π which in this case is 2π.

[Baemi__]

im scrolling through youtube shorts, watching random shi and math appears.
(mom look, im famous 😁)

[bradleyhanson]

Your way of teaching is so much better than anything I've experienced.

Short, to the point, and no BS.

I wish you were around when I was in college.

[facu]

man ive learned way too much with your videos that i already know stuff that my teachers havent teached me yet

[dksartroom]

In India, we are tought to use the formula of θ/360°×πr² while finding the area of a sector. So, it becomes little bit easier and simple.

[Dawsonsincedawsonstaken]

Also another way to do this, set 80/360=x/9pi

[bruhmanbruh]

Pretty simple question, but im glad people are helping in math even in shorts
Although it might be inconvenient for people who dont want to see it lmao

[panchgo]

Simpler formula is 0.5(¿)r^2
Where ¿ = theta in rads
Simple conversion is ¿*(pi/180) to turn degrees to rads and ¿*(180/pi) to turn rads into degrees

[realdka]

Ugh I miss this kinda of math.. differential equations are the norm now..

[ThatRandomGuy]

Area of sector = πr² × X/360
Where X is equal to the angle of the sector in this case 80°..
Also
Circumference of sector =
2πr × X/360
You explained this very well @justiceshepard brother😃

[tmm]

I learnt this as a formula

If angle is x then the area of the shaded region, which is a sector of a circle is

x/360 * pi(r)^2

[asparkdeity]

In radians, A = 0.5r^2 theta, theta is just 80pi/180

A = 4.5 * 4/9 pi = 2pi

[enriquegrageda]

Learning more from your channel than I did from school
Great job 🎉

[darrendaniels]

Thetha ÷ 360° × 2(PIE R),
The following is the required formula to find the length of arc.

[SR-usxw]

Total area of the circle is 9Pi. Quarter of the area (90 C) would be equal to 2.25Pi. The shaded area is smaller than that (90 > 80). Only applicable answer is (a) 2Pi, because all other answers are bigger than 2.25Pi.

[RandomGUY-ftdg]

Its a sector just use πr²×theta/360
(Ik he did the same but for more convenience)

[sanatanicrowd]

You can find this through ( 1/2 × r^2 ×angle in radian ). But it is also good 😊😊🙂🙂😊

[TheShachattack]

This guy makes me want to go back in time to retake the SATs

[Ahmed-guvx]

What I did was after I got 9pi I divided by half and then that by half for 2.25pi as a quarter of the area. Since the shaded area is a shade less than a quarter 2pi was the only one that made sense.

[silverseacow]

I love these type of questions, these are so interesting