Question

what will be the area of largest square that can be cut out of a circle of radius 10 centimetre

Answer 1

diagonal of square = Diameter of circle
Side of square * root2 = 20
Side of square = 10 root 2

Area of square = (10 root2)^2
= 100*2
= 200 cm^2

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Answer 2

The area of the largest square cut out from a circle of radius 10 cm is 50 sq. cm.

• The diagonals of the square shown in the figure are the diameters of the circle .

• In the given figure, the circle has a center at O and AC and BD are the diameters of the circle.

• We have to find the area of the square so formed.

• Formula to find the area of square in terms of diagonal are = d²/2

Area of square = 10² / 2 = 50 sq cm.

• Area of the square so obtained is 50 sq cm.