正方形的面积是“d”。以正方形对角线为直径的圆的面积是多少?
(A) πd
(B) πd 2
(C) (1/4) πd 2
(D) (1/2)πd答案: (D)
解释:
One important observation to solve
the question :
Diagonal of Square = Diameter of Circle.
Let side of square be x.
From Pythogorous 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
这个问题的测验