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A = Area of the largest circle drawn inside a square of side 1 cm. B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm. C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm. D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm. Which of the following is TRUE about A, B, C and D?

A = Area of the largest circle drawn inside a square of side 1 cm. B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm. C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm. D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm. Which of the following is TRUE about A, B, C and D? Correct Answer No option is correct

When there is only one circle the radius will be 1/2 cm

A = π(1/2)2 = π/4

When there are two circles the radius of each circle will be 1/4 cm

B = 4π(1/4)2 = π/4

When there are three circles the radius of each circle will be 1/6 cm

C = 9π(1/6)2 = π/4

When there are four circles the radius of each circle will be 1/8 cm

D = 16π(1/8)2 = π/4

∴ A = B = C = D

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