Suppose that circles A and B have a central angle measuring 100°. Additionally, the length of the intercepted arc for circle A is 35 9 π meters and for circle B is 25 3 π meters. If the radius of circle A is 7 meters, what is the radius of circle B?

A) 9 meters

B) 12 meters

C) 15 meters

D) 18 meters

Question

Mathematics

Aleena Dudley

5 October, 17:27

Suppose that circles A and B have a central angle measuring 100°. Additionally, the length of the intercepted arc for circle A is 35 9 π meters and for circle B is 25 3 π meters. If the radius of circle A is 7 meters, what is the radius of circle B?

A) 9 meters

B) 12 meters

C) 15 meters

D) 18 meters

+2

Answers (1)

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Blevins · Answer 1

15 meters

253 π 359 π = x7

x = 15

When circles have the same central angle measure, the ratio of the lengths of the intercepted arcs is the same as the ratio of the radii.

Suppose that circles A and B have a central angle measuring 100°. Additionally, the length of the intercepted arc for circle A is 35 9 π meters and for circle B is 25 3 π meters. If the radius of circle A is 7 meters, what is the radius of circle B?A) 9 metersB) 12 metersC) 15 metersD) 18 meters