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The radius of a quarter circle is 1 kilometer. What is the quarter circle's perimeter?
Use
pi~~3.14 and round your answer to the nearest hundredth.

◻ kilometers

The radius of a quarter circle is $1$ kilometer. What is the quarter circle's perimeter? $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\square$ kilometers

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Circles: word problems

Full solution

Q. The radius of a quarter circle is

1

kilometer. What is the quarter circle's perimeter?

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\square

kilometers

Calculate Circumference: First, calculate the circumference of the whole circle using the formula $C = 2 \times \pi \times r$ . $\newline$ $C = 2 \times 3.14 \times 1 \, \text{km}$ $\newline$ $C = 6.28 \, \text{km}$
Divide by Four: Since we need the circumference of a quarter circle, we divide the total circumference by $4$ . $\newline$ $C_{\text{quarter}} = \frac{6.28 \, \text{km}}{4}$ $\newline$ $C_{\text{quarter}} = 1.57 \, \text{km}$
Add Straight Edges: Now, add the two straight edges of the quarter circle, which are both equal to the radius of the circle. $\newline$ Perimeter = $C_{\text{quarter}} + 2 \times \text{radius}$ $\newline$ Perimeter = $1.57 \, \text{km} + 2 \times 1 \, \text{km}$ $\newline$ Perimeter = $1.57 \, \text{km} + 2 \, \text{km}$
Find Total Perimeter: Finally, add up the lengths to find the perimeter. $\newline$ Perimeter = $1.57\,\text{km} + 2\,\text{km}$ $\newline$ Perimeter = $3.57\,\text{km}$ $\newline$ Round to the nearest hundredth. $\newline$ Perimeter $\approx 3.57\,\text{km}$

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\newline

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\newline

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