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A sector of a circle has an arc length of 7π. If the diameter of the

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Re: A sector of a circle has an arc length of 7. If the diameter of the [#permalink]
Bunuel wrote:
A sector of a circle has an arc length of 7π. If the diameter of the circle is 14, what is the measure of the central angle of the sector, in degrees?

(A) 45
(B) 60
(C) 90
(D) 120
(E) 180

Since the diameter is 14, the circumference of teh circle is 14π. Since the sector length is 7π, it represents half of the circle's circumference.

Thus, the measure of the central angle of the sector is half of 360, which is 180.