Question

the radius of a circle is 4 kilometers. what is the circles area?
r=4 km
round your answer to the nearest hundredth.

Explanation:

Step1: Recall area formula for circle

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

Step2: Substitute radius value

Substitute $r=4$ into the formula:
$A = \pi (4)^2$

Step3: Calculate squared radius

Compute $4^2 = 16$, so $A = 16\pi$

Step4: Compute numerical value

Use $\pi \approx 3.14159$:
$A \approx 16 \times 3.14159 = 50.26544$

Step5: Round to nearest hundredth

Round $50.26544$ to two decimal places:
$A \approx 50.27$

Answer:

50.27 square kilometers