Question

A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?

5 cm
10 cm
15 cm
20 cm

Answer 1

5 cm

Explanation:

Arc length (S) = 10 cm

Central angle
`(\theta)` = 2 radians

We need to find: radius of the circle (r)

`\because S = r \theta`

`\therefore 10 = r(2)`

`\therefore r= (10)/(2)`

`\therefore r= 5\: cm`