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The diameter of a circle is $36$ feet. What is the circle's area? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ _____ $\text{square feet}$ $\newline$

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Circles: word problems

Full solution

Q. The diameter of a circle is

36

feet. What is the circle's area?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

_____

\text{square feet}

\newline

Calculate Radius: To find the area of a circle, we use the formula $A = \pi r^2$ , where $A$ is the area and $r$ is the radius of the circle. Since the diameter is given as $36$ feet, we first need to find the radius. The radius is half of the diameter. $\newline$ Radius ( $r$ ) = Diameter / $2$ $\newline$ Radius ( $r$ ) = $36$ feet / $2$ $\newline$ Radius ( $r$ ) = $A$ $0$ feet
Calculate Area: Now that we have the radius, we can calculate the area of the circle using the formula $A = \pi r^2$ . $A = \pi \times (18 \text{ feet})^2$ $A = 3.14 \times (18 \text{ feet} \times 18 \text{ feet})$ $A = 3.14 \times 324 \text{ square feet}$
Perform Multiplication: Next, we perform the multiplication to find the area. $\newline$ $A = 3.14 \times 324$ square feet $\newline$ $A = 1017.36$ square feet
Round to Nearest Hundredth: The problem asks us to round the answer to the nearest hundredth. The calculated area is already to the nearest hundredth, so no further action is needed. $\newline$ Final area of the circle = $1017.36$ square feet

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\newline

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\newline

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