The Area of a Circle Whose Radius is the Diagonal of a Square Whose Area is 4 is:

  1. 16π
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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1 Answer(s)

Answer: (1) 8 π

The area of a square = d²/2
Where, d = diagonal of a square.

Then, 4 = d²/2
d² = 4 x 2
d² = 8
Square root on both side,
d = √8
Square and circle
The radius of a circle = diagonal of a square   (Given in the question)
Then,the radius of the circle = √8

The area of the circle = π R²

Where, R = radius of the circle.

Then, the area of the circle = π (√8)²
= 8π

Hence, the answer is (1) 8 π.

Anurag Mishra Professor Answered on 17th November 2015.
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