Question

the radius of a circle is 8 miles. what is the circles area?
$r=8$ mi
round your answer to the nearest hundredth.
____ square miles

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 $r = 8$ miles into the formula:
$A = \pi (8)^2$

Step3: Calculate squared radius

Compute $8^2 = 64$, so $A = 64\pi$

Step4: Compute numerical value

Use $\pi \approx 3.14159$:
$A \approx 64 \times 3.14159 = 201.06176$

Step5: Round to nearest hundredth

Round $201.06176$ to two decimal places: $201.06$

Answer:

201.06 square miles