Question

a circle has a radius of 17 meters. approximate its area. round your final answer to the nearest hundredth. you do not need to include units. you only need to enter the appropriate value.

Explanation:

Step1: Recall area formula

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

Step2: Substitute radius value

Given $r = 17$, we have $A=\pi\times(17)^{2}=\pi\times289$.

Step3: Approximate $\pi$ and calculate

Taking $\pi\approx3.14159$, then $A\approx3.14159\times289 = 907.92951$.

Step4: Round to nearest hundredth

Rounding $907.92951$ to the nearest hundredth gives $907.93$.

Answer:

$907.93$