In a circle, an arc of length 8 π cm is intercepted by a central angle of 2pi/3 radians. What is the radius of the circle?

Question

In a circle, an arc of length 8 π cm is intercepted by a central angle of  radians. What is the radius of the circle?

a.  cm

b.  cm

c.  cm

d. 12cm

Answer 1

s=rθ where s=arc length, r=radius, θ=subtended angle.

8π=2πr/3,

r=12cm (answer option d)