Question

the radius of a circle is 16 feet. what is the circles area? round your answer to the nearest hundredth. square feet 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 of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 16\) feet. Substitute \(r = 16\) into \(A=\pi r^{2}\), we get \(A=\pi\times(16)^{2}\).
First, calculate \((16)^{2}=16\times16 = 256\). So \(A = 256\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.1415926\). Then \(A=256\times3.1415926\).
\(256\times3.1415926=(250 + 6)\times3.1415926=250\times3.1415926+6\times3.1415926\)
\(250\times3.1415926 = 785.39815\), \(6\times3.1415926=18.8495556\)
\(A=785.39815+18.8495556 = 804.2477056\approx804.25\)

Answer:

\(804.25\)