Question

The area of the shaded sector is 5 pi square meters. What is the area of the entire circle? Express your answer in terms of Pi.

A circle. The shaded section has an angle measure of 100 degrees.

Recall that StartFraction Area of sector over area of circle EndFraction = StartFraction n degrees over 360 degrees EndFraction.

A) 12 pi
B) 14 pi
C) 18 pi
D) 20 pi

Answer 1

5/18

108

A sector has an area of 30π in.2. The radii containing the sector form an angle of 100°. What is the area of the circle?

The ratio of the angle of the sector to the entire circle is

✔ 5/18

.

Area of the sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared). 30 pi = StartFraction 100 degrees over 360 degrees EndFraction (pi) (r squared). (StartFraction 18 over 5 EndFraction) 30 pi = (pi) r squared.

The area of the entire circle is

✔ 108

Pi in.2

Answer 2

C - 18 pi

Explanation:

edge