Question

what is the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120°? a 12π cm² b 18π cm² c 27π cm² d 36π cm²

Explanation:

Step1: Recall the formula for the area of a sector

The formula for the area of a sector is \(A=\frac{\theta}{360}\times\pi r^{2}\), where \(\theta\) is the central angle and \(r\) is the radius.

Step2: Substitute the given values into the formula

Given \(r = 9\) cm and \(\theta=120^{\circ}\).

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Answer:

C. \(27\pi\ cm^{2}\)