Question

the radius of a circle is 13 kilometers. what is the circles area? round your answer to the nearest hundredth.

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 $r = 13$ km into the formula:
$A = \pi \times (13)^2$

Step3: Calculate squared radius

$13^2 = 169$, so $A = 169\pi$

Step4: Compute numerical value

Use $\pi \approx 3.14159$:
$A \approx 169 \times 3.14159 = 530.92971$

Step5: Round to nearest hundredth

Round $530.92971$ to two decimal places: $530.93$

Answer:

530.93 square kilometers