Question

the radius of a circle is 4 miles. what is the circles area?
round your answer to the nearest hundredth.
____ square miles

Explanation:

Step1: Recall circle area formula

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

Step2: Substitute radius value

Substitute $r = 4$ miles into the formula:
$A = \pi (4)^2 = 16\pi$

Step3: Calculate numerical value

Compute $16\pi \approx 16 \times 3.14159 = 50.26544$

Step4: Round to nearest hundredth

Round $50.26544$ to two decimal places: $50.27$

Answer:

50.27 square miles