Question

the radius of a circle is 47 meters. what is the circles area? round your answer to the nearest hundredth. square meters

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 \(r = 47\) meters. So \(A=\pi\times(47)^{2}\). First, calculate \(47^{2}=47\times47 = 2209\). Then \(A=\pi\times2209\).

Step3: Calculate the value

Taking \(\pi\approx3.14159265\), then \(A = 3.14159265\times2209\).
\(A=3.14159265\times2209=3.14159265\times(2000 + 200+9)\)
\(=3.14159265\times2000+3.14159265\times200 + 3.14159265\times9\)
\(=6283.1853+628.31853+28.27433385\)
\(=6939.77816385\approx6939.78\)

Answer:

\(6939.78\)