Question

arc cd is 2/3 of the circumstances of a circle. what is the radian measure of the central angle? 2π/3 radians, 3π/4 radians, 4π/3 radians, 3π/2 radians.​

Answer 1

(4π)/3 radians

Explanation:

2/3 of the circumference = 2/3 X 360° = 240°.

there are 2π radians in a full circle (one radian ≈ 57.296°).

so we want 2/3 X 2π radians = (4/3)π radians