Answer:
5 radians
Step-by-step explanation:
The circumference of the circle is
C = 2 * pi *r
C = 2 * pi * 3
C = 6 pi
The arc length that we are measuring is 15
The fraction of the circumference is
15/(6pi)
5/(2 pi)
We want to know the fraction of 2 pi that the angle is
5 x
------- = -------------
2 pi 2 pi
Using cross products
5*2 pi = x * 2pi
Dividing each side by 2pi
10 pi/ 2 pi = x * 2pi/ 2pi
5 =x
5 radians
