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

Answer:

$\frac{\pi }{2}$

Step-by-step explanation:

Since the arc is $\frac{1}{4}$ of the circumference, then

central angle = $\frac{1}{4}$ × 2π ← angle in whole circle

central angle = $\frac{2\pi }{4}$ = $\frac{\pi }{2}$

Answer 2

Answer:

B. $\frac{\pi }{2}$ radians

Step-by-step explanation:

Edge 2021