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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.
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3 votes
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.

User Alya
by
3.7k points

1 Answer

3 votes

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

User Audie
by
3.1k points
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