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Question the-ci

4.3 Circles - Arc length and sector area
0:00
The figure presents a circle with center O. There are four points on the circle. Going clockwise around the circle, the four points are A, B, C, and D. Points A and C divide the circle into two arcs, arc A, D C and arc A B C. The length of arc A D C is less than the length of arc A, B C. Radius O A and radius O C are drawn. Angle A O C, the central angle corresponding to arc A, D C, measures x degrees

The circle above has center O, the length of arc A, D C is 5 pi, and x equals 100. What is the length of arc A, B C ?

A.

9 pi

B.

13 pi

C.

18 pi

D.

13 halves pi