Question

the formula for the area of a sector of a circle is ( a=\frac{spi r^{2}}{360} ). what formula shows ( s ) expressed in terms of the other variables?
choose the correct answer below.
a ( s=\frac{360a}{pi r^{2}} )
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Explanation:

Step1: Start with the formula for the area of a sector

The formula for the area of a sector is \( A=\frac{s\pi r^{2}}{360} \).

Step2: Solve for \( s \)

Multiply both sides of the equation by \( 360 \): \( 360A = s\pi r^{2} \).
Then divide both sides by \( \pi r^{2} \): \( s=\frac{360A}{\pi r^{2}} \).

Answer:

A. \( s = \frac{360A}{\pi r^{2}} \)