Question

What is the arc length when theta = 2pi/3 and the radius is 8cm?

A. 26pi/3
B. 10pi/3
C. 16pi/3
D. Pi/3

Answer 1

The formula for arc length is:

`(s)/(theta) =(r)/(1)`

s is the arc length

r is the radius

theta will be in radians

In this case:

s = unknown

r = 8 cm

theta =
`(2\pi )/(3)`

^^^Plug this into formula given above

`(s)/((2\pi )/(3)) =(8)/(1)`

Cross multiply

s * 1 =
`(2\pi )/(3)` * 8

s =
`(2\pi*8 )/(3)`

s =
`(16\pi )/(3)`

^^^This is your arc length

Hope this helped!

~Just a girl in love with Shawn Mendes