RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 13 of Multiple Choice Questions (MCQ)

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13

If the circumference of a circle and the perimeter of a square are equal then

Let the length of the side of the square be a


Let the radius if circle be r


Perimeter of circle = 2πr


Perimeter of square = 4a


Perimeter of circle = Perimeter of square


2πr = 4a


a = π × r/2


Area of a square = a2


= (π × r/2)2 = π/4 × πr2


Area of circle = πr2


Seeing the co-efficient of πr2


1 > π/4 πr2 > π/4 × πr2


So, (area of the circle) > (area of the square)

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