Question

1. what is the area of a sector with a radius of 10 meters and a central angle of 45°?

a. 50π square meters
b. 25π square meters
c. \frac{10π}{2} square meters
d. \frac{25π}{2} square meters

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 \(r = 10\) meters and \(\theta=45^{\circ}\).

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Answer:

A. \(\frac{25\pi}{2}\) square meters