Question

If the area covered by the semi-circle in the given rectangle is 77 cm2, then the ratio of the green region to the purple region is:​

Answer 1

Step-by-step explanation:

Area of a semi-circle with radius ‘r’ = πr2/2

⇒ πr2/2 = 77

⇒ r2 = (77 × 7 × 2)/22 = 49

⇒ r = √49 = 7 cm

∴ Perimeter of semi-circle = πr + 2r = (22/7) × 7 + 2(7) = 22 + 14 = 36 cm

Answer 2

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