Open In App
Related Articles

GATE | GATE CS 2018 | Question 5

Improve Article
Improve
Save Article
Save
Like Article
Like

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
Please comment below if you find anything wrong in the above post

Last Updated : 22 Feb, 2018
Like Article
Save Article
Similar Reads