The radius of a semicircle is 3 yards. What is the semicircle's area? Use pi~~3.14 and round your answer to the nearest hundredth. square yards

Identify Formula Adjustment: Identify the formula for the area of a circle and adjust it for a semicircle. The formula for the area of a circle is A = πr^2. Since we are dealing with a semicircle, we need to take half of the area of a full circle.Plug in Values: Plug in the given radius and the value of π into the formula for the area of a semicircle. Given radius (r) = 3 yards, π ≈ 3.14. Area of a semicircle (A) = 1/2 * π * r^2 = 1/2 * 3.14 * (3)^2.Calculate Area: Calculate the area using the values from Step 2. A = 1/2 * 3.14 * 3^2 = 1/2 * 3.14 * 9 = 1/2 * 28.26 = 14.13 square yards.Round Answer: Round the answer to the nearest hundredth as instructed. The calculated area is already to the nearest hundredth, so rounding is not necessary.

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The radius of a semicircle is $3$ yards. What is the semicircle's area? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ square yards

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Circles: word problems

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Q. The radius of a semicircle is

3

yards. What is the semicircle's area?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

square yards

Identify Formula Adjustment: Identify the formula for the area of a circle and adjust it for a semicircle. $\newline$ The formula for the area of a circle is $A = \pi r^2$ . Since we are dealing with a semicircle, we need to take half of the area of a full circle.
Plug in Values: Plug in the given radius and the value of $\pi$ into the formula for the area of a semicircle. $\newline$ Given radius (r) = $3$ yards, $\pi \approx 3.14$ . $\newline$ Area of a semicircle (A) = $\frac{1}{2} \times \pi \times r^2 = \frac{1}{2} \times 3.14 \times (3)^2$ .
Calculate Area: Calculate the area using the values from Step $2$ . $\newline$ $A = \frac{1}{2} \times 3.14 \times 3^2 = \frac{1}{2} \times 3.14 \times 9 = \frac{1}{2} \times 28.26 = 14.13$ square yards.
Round Answer: Round the answer to the nearest hundredth as instructed. $\newline$ The calculated area is already to the nearest hundredth, so rounding is not necessary.