Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2 and for circle B is 40π m2. If the radius of circle A is 6 m, what is the radius of circle B?

A) 8 m

B) 10 m

C) 12 m

D) 16 m

Question

Mathematics

Declan Bryan

30 March, 09:43

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2 and for circle B is 40π m2. If the radius of circle A is 6 m, what is the radius of circle B?

A) 8 m

B) 10 m

C) 12 m

D) 16 m

+3

Answers (1)

Know the Answer?

Gretta · Answer 1

12 m

10π 40π = 62 x2

x = 12

When circles have the same central angle measure, the ratio of measure of the sectors is the same as the ratio of the radii squared.

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2 and for circle B is 40π m2. If the radius of circle A is 6 m, what is the radius of circle B?A) 8 mB) 10 mC) 12 mD) 16 m

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2 and for circle B is 40π m2. If the radius of circle A is 6 m, what is the radius of circle B?

A) 8 m

B) 10 m

C) 12 m

D) 16 m