Question

What is the measure of 0 in radians?

radians
15
In the diagram, 0 is a central angle.

Answer 1

Explanation:

5

Answer 2

5 radians

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