Question

circle f is shown below. complete the sentence. to find the area of the shaded sector, find the of circle f and multiply it by.

Explanation:

Step1: Recall the sector area formula

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

Step2: Analyze the fraction multiplier

For a sector with central angle \(\theta = 45^{\circ}\), the fraction is \(\frac{45}{360}=\frac{1}{8}\)

Answer:

To find the area of the shaded sector, find the area of circle \(F\) and multiply it by \(\frac{45}{360}\) (or \(\frac{1}{8}\)).