Question

the floor of a round hut has a radius of 2 yards. what is the floors area? if necessary, round your answer to the nearest hundredth. square yards submit work it out not feeling ready yet? these can help:

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 \(r = 2\) yards. Substitute \(r = 2\) into \(A=\pi r^{2}\), we get \(A=\pi\times(2)^{2}\).
First, calculate \((2)^{2}=4\). Then \(A = 4\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14159\), then \(A=4\times3.14159 = 12.56636\).

Step4: Round to the nearest hundredth

Rounding \(12.56636\) to the nearest hundredth (two - decimal places). The third decimal digit is \(6\), so we round up the second decimal digit. So \(A\approx12.57\).

Answer:

\(12.57\)