Question

the radius of a circle is 6 centimeters. what is the circles area? round your answer to the nearest hundredth. square centimeters submit

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle with radius \( r \) is \( A=\pi r^{2} \).

Step2: Substitute the given radius into the formula

Given that the radius \( r = 6 \) centimeters. Substitute \( r = 6 \) into the formula: \( A=\pi\times(6)^{2}=\pi\times36 \).

Step3: Calculate the value and round to the nearest hundredth

Using \( \pi\approx3.14159 \), we have \( A = 36\times3.14159=113.09724 \). Rounding to the nearest hundredth (two decimal places), we look at the third decimal place, which is 7. Since \( 7\gt5 \), we round up the second decimal place. So \( 113.09724\approx113.10 \).

Answer:

\( 113.10 \)