Question

the radius of a circle is 11 yards. what is the circles area? round your answer to the nearest hundredth. square yards submit

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 \(r\) is the radius.

Step2: Substitute the given radius into the formula

Given \(r = 11\) yards, substitute into the formula: \(A=\pi\times(11)^{2}\).
First, calculate \((11)^{2}=121\). So \(A = 121\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(A=121\times3.14159 = 380.13239\).

Step4: Round to the nearest hundredth

Rounding \(380.13239\) to the nearest hundredth (two decimal places), we look at the third - decimal digit. The third - decimal digit is \(2\) (less than \(5\)), so we keep the second - decimal digit as it is.

Answer:

\(380.13\) square yards