Question

The arc length of a sector created by a 90 degrees angle is 2 pi cm. What is the circumference of the entire circle? Express the answer in terms of Pi.

Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.

StartFraction pi over 4 EndFraction centimeters

StartFraction pi over 2 EndFraction centimeters

6 pi centimeters

8 pi centimeters

Answer 1

8 pi cm

Explanation:

90 degrees is 1/4 of the entire circle (360 degrees)

2 pi * 4 = 8 pi cm