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

Answer:

radius = 12 cm

Step-by-step explanation:

al - Arc Length

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

r - Radius

$al \: = 8\pi \: cm$

$\alpha \: = \frac{2\pi}{3}$

$al \: = \alpha \times r$

$r \: = \frac{al}{ \alpha }$

$r = \frac{8\pi}{( \frac{2\pi}{3} )}$

$r = 12 \: cm$