Question

the radius of a circle is 12 centimeters. what is the circles area? round your answer to the nearest hundredth. ______ square centimeters

Explanation:

Step1: Recall circle area formula

The area of a circle is given by $A = \pi r^2$, where $r$ is the radius.

Step2: Substitute radius value

Substitute $r = 12$ cm into the formula:
$A = \pi (12)^2$

Step3: Calculate the squared radius

$12^2 = 144$, so $A = 144\pi$

Step4: Compute numerical value

Use $\pi \approx 3.14159$:
$A \approx 144 \times 3.14159 = 452.38936$

Step5: Round to nearest hundredth

Round $452.38936$ to two decimal places: $452.39$

Answer:

452.39 square centimeters