📜  门| GATE CS 2018 |问题 5

📅  最后修改于: 2021-09-25 04:54:34             🧑  作者: Mango

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: 方圆

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

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