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The radius of a quarter circle is 22 inches. What is the quarter circle's perimeter?\newline\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ inches

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Q. The radius of a quarter circle is 22 inches. What is the quarter circle's perimeter?\newline\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ inches
  1. Calculate Full Circle Circumference: Step 11: Calculate the circumference of the full circle using the radius.\newlineRadius r=2r = 2 inches.\newlineFormula for full circle circumference is C=2πrC = 2\pi r.\newlineCalculation: C=2×3.14×2=12.56C = 2 \times 3.14 \times 2 = 12.56 inches.
  2. Find Quarter Circle Circumference: Step 22: Find the circumference of the quarter circle.\newlineA quarter circle is 14\frac{1}{4} of the full circle.\newlineCalculation: Quarter circle circumference = 12.564=3.14\frac{12.56}{4} = 3.14 inches.
  3. Calculate Total Perimeter: Step 33: Add the radius lengths to the quarter circle's arc length to get the total perimeter.\newlineThe quarter circle has two radius edges and one arc.\newlineCalculation: Total perimeter = 3.143.14 (arc length) + 22 (radius) + 22 (radius) = 7.147.14 inches.

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