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The radius of a quarter circle is 44 feet. What is the quarter circle's perimeter?\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ feet

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Q. The radius of a quarter circle is 44 feet. What is the quarter circle's perimeter?\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ feet
  1. Calculate Full Circle Circumference: Step 11: Calculate the circumference of the full circle using the radius.\newlineRadius (r) = 44 feet. The formula for the circumference of a full circle is c=2πr c = 2\pi r .\newlineCalculate c=2×3.14×4 c = 2 \times 3.14 \times 4 .\newlineCircumference of the full circle = 2525.1212 feet.
  2. Find Quarter Circle Circumference: Step 22: Find the circumference of the quarter circle.\newlineSince we need the circumference of a quarter circle, divide the full circumference by 44.\newlineQuarter circle circumference = 25.124 \frac{25.12}{4} = 66.2828 feet.
  3. Calculate Quarter Circle Perimeter: Step 33: Add the radius twice to the quarter circle's circumference to get the perimeter.\newlinePerimeter of the quarter circle = Quarter circle circumference + 2×2 \times radius.\newlinePerimeter = 6.28+2×4=14.286.28 + 2 \times 4 = 14.28 feet.

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