Question

Major arc CBD measures 300°.

Circle O is shown. Line segments C and D are radii. Point B is on the opposite side.

Which is the radian measure of its corresponding central angle?

StartFraction 4 pi Over 3 EndFraction radians
StartFraction 5 pi Over 6 EndFraction radians
StartFraction 5 pi Over 3 EndFraction radians
StartFraction 11 pi Over 6 EndFraction radians

Answer 1

5pi/3

Explanation:

300/1 times pi/180

Just combine the numerators and denominators and simplify

Answer 2

5π/3 radians

Explanation:

The central angle for arc CBD has the same measure as the arc:

300° = 5π/3 radians

_____

180° is π radians, so (5/3)(180°) = 300° = (5/3)π radians.