Question

2. Janine walks on a circular track whose radius is 60 meters. If she walks a total of 100 meters, which of the

following represents the radian angle she rotates about the center of the track?

Answer 1

0.53πrad

Explanations:

Given the radius of the circular track = 60metres

If she walks a total of 100 meters, the length of the arc of the circle = 100metres

To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc

L = θ/360° × 2πr

100 = θ/360× 2π(60)

36000 = 120π × θ

36000 = 376.8θ

θ = 36000/376.8

θ = 95.5°

Since 180° = πrad

95.5° = x

x = 95.5π/180

x = 0.53π rad