Question 68

A square with maximum possible side is drawn in a circle of radius 12 cm. What is the area of square?

Solution

The maximum possible side of a square that can be inscribed in a circle will have the diameter of the circle equal to the diagonal of the square.
So given radius=12 cm
d=2r
d=24 cm
Diagonal of the square =24 cm
Area of a square with 'd' as diagonal length=$$d^{2}/2$$
=24*24/2
=288 sq cm


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