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The side of the square is equal to the diameter of the circle, in this case 2a so the perimeter is 8a cm.

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Q: What is the perimeter of a square in centimeters circumscribing a circle of radius a centimeters?
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What is the quarter circle's radius if the perimeter of a quarter circle is 32.13 centimeters?

The perimeter of a quarter circle is 2 radii plus a quarter of the circumference of the whole circle: → 2 × radius + ¼ × 2 × π × radius = 32.13 cm → radius × (2 + π/2) = 32.13 cm → radius = 32.13 ÷ (2 + π/2) cm ≈ 9.00 cm


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