Question

the radius of a circle is 4.4 meters. what is the circles area?
round your answer to the nearest hundredth.
square meters

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 \(r = 4.4\) meters. Substitute \(r = 4.4\) into \(A=\pi r^{2}\), we get \(A=\pi\times(4.4)^{2}\).
First, calculate \((4.4)^{2}=4.4\times4.4 = 19.36\). Then \(A=\pi\times19.36\).
Taking \(\pi\approx3.14159\), then \(A\approx3.14159\times19.36\).

Step3: Calculate the value of \(A\)

\(3.14159\times19.36=(3 + 0.14159)\times19.36=3\times19.36+0.14159\times19.36\)
\(3\times19.36 = 58.08\), \(0.14159\times19.36\approx2.741\)
\(A\approx58.08+2.741=60.821\approx60.82\) (rounded to the nearest hundredth)

Answer:

\(60.82\)