Question

the radius of a circle is 9 inches. what is the circles area? round your answer to the nearest hundredth. square inches

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given \(r = 9\) inches. Substitute \(r = 9\) into \(A=\pi r^{2}\), we get \(A=\pi\times(9)^{2}\).
First, calculate \((9)^{2}=81\). So \(A = 81\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159265\). Then \(A=81\times3.14159265\).
\(81\times3.14159265 = 254.46990465\).

Step4: Round to the nearest hundredth

Rounding \(254.46990465\) to the nearest hundredth (two - decimal places). The third decimal digit is \(9\), so we round up the second decimal digit. \(254.46990465\approx254.47\).

Answer:

\(254.47\)