What is the area of the circle which has the diagonal of the square as its diameter if the area of square is ‘ d ‘ ?
(A)
πd
(B)
πd2
(C)
(1/4) πd2
(D)
(1/2)πd
Answer: (D)
Explanation:
One important observation to solve
the question :
Diagonal of Square = Diameter of Circle.
Let side of square be x.
From Pythagoras theorem.
Diagonal = √(2*x*x)
We know area of square = x * x = d
Diameter = Diagonal = √(2*d)
Radius = √(d/2)
Area of circle = π * √(d/2) * √(d/2) = 1/2 * π * d
Quiz of this Question
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