Question

the radius of a circle is 1 kilometer. what is the circles area? round your answer to the nearest hundredth. square kilometers submit

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 \(r = 1\) kilometer. Substitute \(r = 1\) into \(A=\pi r^{2}\), we get \(A=\pi\times(1)^{2}=\pi\).

Step3: Calculate the value and round to the nearest hundredth

Using \(\pi\approx3.14159\), \(A\approx3.14159\). Rounding \(3.14159\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. Since \(1<5\), we keep the second decimal digit as it is.

Answer:

\(3.14\) square kilometers