A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle of

π 6?

A) 3 in2

B) 6 in2

C) 12 in2

D) 196 in2

Question

Mathematics

Juliet Bartlett

15 September, 08:23

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle of

π 6?

A) 3 in2

B) 6 in2

C) 12 in2

D) 196 in2

+3

Answers (1)

Know the Answer?

Raymond Moyer · Answer 1

A central angle : π / 6 = 30 °

30 ° = 360 ° / 12

The area of the sector is 1/12 of the area of a circle.

Therefore area of the sector is:

A = 36 π / 12 = 3 π

Answer: A) 3 π in²

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?A) 3 in2B) 6 in2C) 12 in2D) 196 in2

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle of

π 6?

A) 3 in2

B) 6 in2

C) 12 in2

D) 196 in2