Question

in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

Answer 1

radius = 12 cm

Explanation:

al - Arc Length

`\alpha \: - Central \: Angle ( in \: \: radians)`

r - Radius

`al \: = 8\pi \: cm`

`\alpha \: = (2\pi)/(3)`

`al \: = \alpha * r`

`r \: = (al)/( \alpha )`

`r = (8\pi)/(( (2\pi)/(3) ))`

`r = 12 \: cm`