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We know that the circumference of a circle is equal to the diameter times pi- or 3.14. With a quarter circle, we know the Radius- distance from the center point to the edge. Double that, and you have the diameter of a whole circle. Multiply that by pi, and you have the circumference of the whole circle- but since you have a quarter circle, divide that by 4. A 3 ft quarter- times 2= 6. 6x3.14= 18.84. divide THAT by 4=4.71. NOW add in the original radius for each of the two STRAIGHT sides- that is 3 x 2, or 6, PLUS the length of the curved part- 4.71, and you have 10.71 ft. So you have the length of the two straight sides, and the curving 3rd side combined.

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Q: How do you find the perimeter of a quarter circle?
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Related questions

What is the perimeter of quarter circle?

The arc is one quarter of a circle so is 2pir, the other components of the quarter circle are the two radii, so perimeter is 2r+2pir = 2r(1+pi)


What is the perimeter of a three quarter circle?

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How do you find the perimeter when circumference is given?

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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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Normally, the amount of the side of the rectangle below the quarter circle on it would expected to be calculated. However, the radius of the circle equals the amount that is subtracted, but in calculating the perimeter it has to be added back in again as it forms part of the perimeter. Thus the perimeter is the perimeter of the rectangle plus a quarter of the circumference of the circle. → perimeter = 2 × (20cm + 2 cm) + ¼ × 2 × π × 11 cm ≈ 44 cm + 3.14 × 11/2 = 61.27 cm.


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