The diameter of a circle is 36 feet. What is the circle's area? Use pi~~3.14 and round your answer to the nearest hundredth. _____ square feet

Calculate Radius: To find the area of a circle, we use the formula A = πr^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. Radius (r) = Diameter / 2 Radius (r) = 36 feet / 2 Radius (r) = 18 feetCalculate Area: Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2. A = π * (18 feet)^2 A = 3.14 * (18 feet * 18 feet) A = 3.14 * 324 square feetPerform Multiplication: Next, we perform the multiplication to find the area. A = 3.14 * 324 square feet A = 1017.36 square feetRound 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. Final area of the circle = 1017.36 square feet

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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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Grade 8

Circles: word problems

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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