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The Jones family has a circular vegetable garden beside their house. The garden has a radius of $15$ yards. What is the area of the vegetable garden? Round your answer to the nearest hundredth of a square yard.

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Circles: word problems

Full solution

Q. The Jones family has a circular vegetable garden beside their house. The garden has a radius of

15

yards. What is the area of the vegetable garden? Round your answer to the nearest hundredth of a square yard.

Identify formula for area: Step $1$ : Identify the formula for the area of a circle. $\newline$ The formula to calculate the area of a circle is $A = \pi r^2$ , where $A$ is the area and $r$ is the radius. $\newline$ Calculation: We know the radius ( $r$ ) is $15$ yards.
Plug in radius: Step $2$ : Plug the radius into the formula to calculate the area. $\newline$ Calculation: $A = \pi(15)^2 = \pi(225) = 706.86$ square yards (using $\pi \approx 3.14$ ).
Round to nearest hundredth: Step $3$ : Round the result to the nearest hundredth. $\newline$ Calculation: The area of the garden is approximately $706.86$ square yards.

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