Question

Here is a circle touching a square the area of the square is 36cm2 Work out the area of the circle give your answer in terms of pi

Answer 1

9π cm²

Explanation:

Asquare = 36cm² = l2 => l = √36 = 6 cm

d = 2r => r = d/2 = 6cm/2 = 3 cm

Acircle = π·r² = π·(3cm)² = 9π cm²

Answer 2

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Explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.