Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?

2 (pie) / 3 radians

3 (pie) / 4 radians

4 (pie) / 3 radians

3 (pie) / 2 radians

Question

First Mate

1 July, 22:04

+3

Answers (2)

Know the Answer?

Cordell Forbes · Answer 1

Easy

2/3 of circumferenc=2/3 of the total radians in a circle

2pi radians in a circle

2pi times 2/3=4pi/3 radians

answer is 3rd option

Jonah Bean · Answer 2

There are 2*PI radians in every circle.

If the central angle is 2/3 of the circle, then it equals

(2/3) * 2*PI = (4/3) PI

answer is C

Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?2 (pie) / 3 radians3 (pie) / 4 radians4 (pie) / 3 radians3 (pie) / 2 radians