Question

Find the area of a circle circumscribing a square of area 64cm square

Answer 1

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Answer 2

The area of the circle is 100.32 cm².

Given data :

Square's area = 64 cm²

So,

Square's one side = ✓64 = 8 cm

Square's diagonal = ✓(8)²+(8)² = ✓128 = 11.31 cm

(According to the Pythagoras theorem,the diagonal of the square is hypotenuse of a right angle and the two sides of the square are the two sides of the right angle triangle)

So, circle's diameter = 11.31 cm

Circle's radius = 11.31/2 = 5.65 cm

Circle's area = π×(5.65)² = 100.32 cm² (Answer)