Question

the radius of a circle is 1 meter. 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 value of the radius into the formula

Given \(r = 1\) meter. Substitute \(r = 1\) into the formula: \(A=\pi\times(1)^{2}\).
Since \((1)^{2}=1\), the formula simplifies to \(A = \pi\).

Step3: Calculate the value and round to the nearest hundredth

Using \(\pi\approx3.14159\), when we round \(3.14159\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. The third decimal digit is \(1\), and since \(1<5\), we keep the second decimal digit as it is. So \(A\approx3.14\).

Answer:

\(3.14\)