Find the area of largest square that can be inscribed in a circle of radius ‘r’.
The largest square that can be inscribed in the circle will have the diameter of the circle as the diagonal of the square. ⇒ Diagonal of the square = 2r ⇒ Side of the square = 2r/√2 ⇒ Side of the square = √2r Therefore, area of the square = Side × Side = √2r × √2r = 2r²
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A sum doubles in eight years at simple interest. In how many years will the sum become five times the original sum?
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