The diameter of a circular park is 80m.Find its surface area.
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Area of the square inside a circle will be maximum when the diameter of the circle is equal to the diagonal of the square.
Diameter of the circular park = 80 m
In square ABCD,
Let the side of the square-shaped playground be a.
Diagonal of the square-shaped playground = a √2
For the area of square-shaped playground to be maximum.
Diagonal of the square-shaped playground = Diameter of the circular park
a√2 = 80
a = 80/√2
Area of the square-shaped playground = a2 = (80/√2)2 = 6400/2 = 3200 m2
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