Question

find the radius of the circle. use your calculators value for π. round your answer to the nearest hundredth. (5 points)
10.)
area = 254.5 m²

Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(A\) is the area and \(r\) is the radius.

Step2: Solve the formula for \(r\)

Given \(A = 254.5\space m^{2}\), we can rewrite the formula as \(r^{2}=\frac{A}{\pi}\). Then \(r = \sqrt{\frac{A}{\pi}}\).

Step3: Substitute the value of \(A\) and calculate

Substitute \(A = 254.5\) into the formula: \(r=\sqrt{\frac{254.5}{\pi}}\). Using a calculator with \(\pi\approx3.141592654\), we have \(r=\sqrt{\frac{254.5}{3.141592654}}\approx\sqrt{81.01}\approx9.00\)

Answer:

\(9.00\space m\)