Question

the radius of a circle is 47.3 millimeters. what is the circles area? round your answer to the nearest hundredth.

Explanation:

Step1: Recall circle area formula

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

Step2: Substitute radius value

Substitute $r = 47.3$ mm into the formula:
$A = \pi \times (47.3)^2$
First calculate $(47.3)^2 = 47.3 \times 47.3 = 2237.29$

Step3: Compute the area

Multiply by $\pi$:
$A = \pi \times 2237.29 \approx 3.14159 \times 2237.29 \approx 7029.60$

Answer:

$7029.60$ square millimeters