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The radius of a circle is 37.9 yards. What is the circle's area?
Use
pi~~3.14 and round your answer to the nearest hundredth.

◻ square yards

The radius of a circle is $37$ . $9$ yards. What is the circle's area? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\square$ square yards

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Circles: word problems

Full solution

Q. The radius of a circle is

37

.

9

yards. What is the circle's area?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\square

square yards

Use Circle Area Formula: To find the area of a circle, use the formula $A = \pi r^2$ , where $A$ is the area and $r$ is the radius.
Plug in Radius: Plug in the radius ( $37.9$ yards) into the formula: $A = 3.14 \times (37.9)^2$ .
Calculate Square: Calculate the square of the radius: $(37.9)^2 = 1435.21$ .
Multiply by Pi: Now multiply the squared radius by $\pi$ ( $3.14$ ): $A = 3.14 \times 1435.21$ .
Perform Multiplication: Perform the multiplication to find the area: $A = 4506.5594$ .
Round to Nearest Hundredth: Round the answer to the nearest hundredth: $A \approx 4506.56$ square yards.

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