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

Accepted Solution

15 meters

253π359π = 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.