Question 13

From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?

Solution

Area of the large sheet =$$\pi {20}^2$$

Area of the 4 circle of sheet = $$4\pi {5}^2$$

Required ratio =[$$\pi {20}^2 - 4\pi {5}^2$$]:[$$4\pi {5}^2$$] = 4-1 = 3:1

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