Answer:
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
