In the circle shown below, AB= 30 and the length of the minor arc from point A to point C is 40. Find the exact measure of the marked angle B in terms of radians. Justify.

Question

asked Aug 22, 2022 30.3k views

1 Answer

Audie · Answer 1 · 2022-08-28T14:50:14+0000

Answer:

4/3pi

Explanation:

Length of an arc = r theta

Given radius r = 30

length of arc l = 40

Substitute

40 = 30theta

theta = 40/30

theta = 4/3 pi

Hence the angle marked B is 4/3pi