Question

Both circle A and circle B have a central angle measuring 135°. The ratio of the radius of circle A to the radius of circle B is 4 7 . If the length of the intercepted arc for circle A is 1 2 π, what is the length of the intercepted arc for circle B?

1
2
π
B)
2
3
π
C)
5
7
π
D)
7
8
π

Answer 1

the answer on ustest is D) 7/8 .

Answer 2

7/8π

The circles have the same central angle measures; therefore, the ratio of the intercepted arcs is the same as the ratio of the radii.

4/7 = 1/2π over x

x = 7/8π