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The perimeter of a quarter circle is $3.57$ centimeters. What is the quarter circle's radius? $\newline$ $\newline$ Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_$ centimeters

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Volume of cylinders

Full solution

Q. The perimeter of a quarter circle is

3.57

centimeters. What is the quarter circle's radius?

\newline

\newline

Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_

centimeters

Identify Formula: Identify the formula for the perimeter of a quarter circle, which includes the curved part and two radius lines. The formula for the perimeter of a full circle is $2\pi r$ , so for a quarter circle, it's $\frac{1}{4}(2\pi r) + 2r$ .
Set Up Equation: Set up the equation with the given perimeter: $\newline$ $\frac{1}{4}(2\pi r) + 2r = 3.57$ $\newline$ Simplify and solve for $r$ : $\newline$ $\frac{1}{2}\pi r + 2r = 3.57$ $\newline$ Use $\pi \approx 3.14$ : $\newline$ $\frac{1}{2}(3.14)r + 2r = 3.57$ $\newline$ $1.57r + 2r = 3.57$ $\newline$ $3.57r = 3.57$ $\newline$ $r = 1$

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