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The diameter of a semicircle is 8 centimeters. What is the semicircle's perimeter?
Use
pi~~3.14 and round your answer to the nearest hundredth.
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centimeters
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The diameter of a semicircle is $8$ centimeters. What is the semicircle's perimeter? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ $\newline$ centimeters $\newline$ Submit

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Circles: word problems

Full solution

Q. The diameter of a semicircle is

8

centimeters. What is the semicircle's perimeter?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\square

\newline

centimeters

\newline

Submit

Find Radius: First, find the radius of the semicircle. Radius = $\frac{\text{Diameter}}{2}$ Radius = $\frac{8 \text{ cm}}{2} = 4 \text{ cm}$
Calculate Circumference: Next, calculate the circumference of the full circle. $\text{Circumference} = 2 \cdot \pi \cdot \text{Radius}$ $\text{Circumference} = 2 \cdot 3.14 \cdot 4 \text{ cm} = 25.12 \text{ cm}$
Calculate Perimeter: Since we need the perimeter of a semicircle, take half of the circumference and add the diameter. Perimeter of semicircle = $\frac{\text{Circumference}}{2}$ + $\text{Diameter}$ Perimeter of semicircle = $\frac{25.12 \text{ cm}}{2}$ + $8 \text{ cm}$ = $12.56 \text{ cm}$ + $8 \text{ cm}$ = $20.56 \text{ cm}$

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\newline

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\newline

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