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
Accepted Solution
A:
12 m
10π40π = 62x2 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.