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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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Q: What is the perimeter of a rectangle that is 20cm by 2cm which has a quarter circle of radius 11cm on one 20cm side running off the 2cm side using 3.14 for π?

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