Question

the radius of a circle is 1 inch. what is the circles area?
round your answer to the nearest hundredth.
square inches

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 \(r = 1\) inch. 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 the third decimal digit is \(1\lt5\), we keep the second decimal digit as it is.

Answer:

\(3.14\)