Question

the radius of a circle is 11 millimeters. what is the circles area?
r=11 mm
round your answer to the nearest hundredth.
square millimeters
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

We are given that \( r = 11 \) millimeters. Substituting \( r = 11 \) into the formula, we get \( A=\pi\times(11)^{2} \).

Step3: Calculate the value

First, calculate \( 11^{2}=121 \). Then, multiply by \( \pi \): \( A = 121\pi \). Using a calculator to approximate \( \pi\approx3.14159265 \), we have \( A\approx121\times3.14159265 \).
\( 121\times3.14159265 = 380.13270865 \).

Step4: Round to the nearest hundredth

Rounding \( 380.13270865 \) to the nearest hundredth (two decimal places), we look at the third decimal place which is \( 2 \). Since \( 2<5 \), we round down. So the rounded value is \( 380.13 \).

Answer:

\( 380.13 \)