Question

Two circles are drawn inside a big circle of diameter 24 cm. The diameter of the two circles are 1/3 or 2/3 of the diameter of the big circle as shown in the adjoining figure. Find the ratio of the areas of the shaded part to the unshaded part of the circle.Find in ratio.​

Answer 1

Answer:

4:5

Step-by-step explanation:

Area of smallest circle= π(r)^2

Area of bigger cirlce = π(2r)^2= 4πr^2

Area of biggest cirlce = π(3r)^2= 9πr^2

Area of unshaded portion = πr^2+ 4πr^2= 5πr^2

Area of shaded portion = 9πr^2 - 5πr^2= 4πr^2

Therefore ratio is 4:5

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