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Calculate the area of the circle that has a diameter of $17$ inches. Give your answers in terms of $\pi$ and rounded to the nearest hundredth.

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Volume of cylinders

Full solution

Q. Calculate the area of the circle that has a diameter of

17

inches. Give your answers in terms of

\pi

and rounded to the nearest hundredth.

Find Radius: First, find the radius of the circle since the area formula requires the radius. The radius is half of the diameter. $\newline$ Radius = Diameter / $2$ = $\frac{17}{2} = 8.5$ inches.
Calculate Area: Next, use the area formula for a circle, $A = \pi r^2$ , where $r$ is the radius. $\newline$ Area = $\pi \times (8.5)^2 = \pi \times 72.25$ .
Round to Nearest Hundredth: Now, to provide the answer in terms of $\pi$ , the area is $72.25\pi$ square inches. $\newline$ To round this to the nearest hundredth using $\pi \approx 3.14$ : $\newline$ Area $\approx 3.14 \times 72.25 = 226.865$ square inches.

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