Question

what is the area of sector gph?
the area of sector gph is square square yards.
(type an exact answer in terms of pi.)

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 of the circle.

Step2: Identify the values of \(\theta\) and \(r\)

From the problem, \(\theta = 40^{\circ}\) and \(r = 9\) yd.

Step3: Substitute the values into the formula

Substitute \(\theta = 40\) and \(r = 9\) into \(A=\frac{\theta}{360}\times\pi r^{2}\).

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Answer:

\(9\pi\)