Question

a tepee has a circular floor with a radius of 6 feet. what is the floors area? if necessary, round your answer to the nearest hundredth. square feet

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 \(r = 6\) feet. Substitute \(r = 6\) into \(A=\pi r^{2}\), we get \(A=\pi\times(6)^{2}\).
First, calculate \((6)^{2}=36\). So \(A = 36\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(A=36\times3.14159 = 113.09724\).

Step4: Round to the nearest hundredth

Rounding \(113.09724\) to the nearest hundredth. The digit in the thousandth place is \(7\), so we round up the digit in the hundredth place. So \(A\approx113.10\).

Answer:

\(113.10\)