Question

Find the arc length of a sector that is 125° and has a radius of 20 in.

Answer 1

I think i know how to do it but im not sure is it
3.14 x 20 x 20 = 1256
Arc length = 125/360 x 1256 = 436.11

Answer 2

Arc length is proportioanl to the angle in radians.
\[L={\theta\over360}\times2\pi r\]

Answer 3

So im right? with 436.11?

Answer 4

you calculated the Area of the sector. by usgin \(\pi r^2\).

Answer 5

im confused

Answer 6

Area of sector:
\[A={\theta\over360}\times \pi r^2\]
Length of arc:
\[L={\theta\over360}\times2\pi r\]

Answer 7

kapeesh?

Answer 8

\[arclength=\theta \times r\]
where r is the radius and theta is angle in radians

Answer 9

okay yes i got it! thanks :)

Answer 10

yer welcome.