Question

the radius of a circle is 3 kilometers. what is the circles area? round your answer to the nearest hundredth. square kilometers

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 $r = 3$ km into the formula:
$A = \pi \times (3)^2$

Step3: Calculate initial area

Compute the square of the radius and multiply by $\pi$:
$A = 9\pi \approx 9 \times 3.14159265$

Step4: Round to nearest hundredth

Round the result to two decimal places:
$A \approx 28.27$

Answer:

28.27 square kilometers