Answer:
Explanation:
Given that,
Pie diameter = 9 in
Then, the circumference of the pie is
P = πd = 9π in
Then rim of the pie rotates 233 in,
Then,
1 Revolution of the pie is 9π in,
So, for 233 in, we will have
233 in / 9π in revolution
8.24 revolution
So, the revolution of the pie is 8.24
1 revolution is 2πrad
Then,
8.24 revolution = 8.24 × 2π = 51.78 rad.
And also, 1 revolution is 360°
Then,
8.24 revolution = 8.24 × 360 = 2966.4°
So,
In revolution, θ = 8.24 revolution
In radian = θ = 57.78 rad
In degree θ = 2966.4°