Question

Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?

StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians

Answer 1

B.
`(\pi )/(2)` radians

Explanation:

Edge 2021

Answer 2

`(\pi )/(2)`

Explanation:

Since the arc is
`(1)/(4)` of the circumference, then

central angle =
`(1)/(4)` × 2π ← angle in whole circle

central angle =
`(2\pi )/(4)` =
`(\pi )/(2)`