Q. 54.5( 14 Votes )

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
A. 22:7

B. 14:11

C. 7:22

D. 11:14

Answer :

Let r be the radius of the circle and a be the side of the square.


We are given that Perimeter of a circle = Perimeter of a square


2πr = 4a


a = πr/2


Area of the circle = r2 and Area of the square = a2


Now, Ratio of their areas = (Area of circle)/(Area of square)


=


= 4/π = [4/(22/7)] = 14/11

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
RD Sharma | Area of Sector and SegmentRD Sharma | Area of Sector and SegmentRD Sharma | Area of Sector and Segment61 mins
Throwing the Light on Area of SectorThrowing the Light on Area of SectorThrowing the Light on Area of Sector43 mins
RD Sharma | Area Formed by Plane FiguresRD Sharma | Area Formed by Plane FiguresRD Sharma | Area Formed by Plane Figures46 mins
RD Sharma |  Area of Sector and SegmentsRD Sharma |  Area of Sector and SegmentsRD Sharma | Area of Sector and Segments25 mins
RD Sharma | Imp Qs Discussion on Area Related With CirclesRD Sharma | Imp Qs Discussion on Area Related With CirclesRD Sharma | Imp Qs Discussion on Area Related With Circles41 mins
Quiz | Area Related with CirclesQuiz | Area Related with CirclesQuiz | Area Related with Circles47 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Champ Quiz | Area Related with the CircleChamp Quiz | Area Related with the CircleChamp Quiz | Area Related with the Circle45 mins
Quiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on Circles32 mins
Quiz | Imp. Qs. on CircleQuiz | Imp. Qs. on CircleQuiz | Imp. Qs. on Circle35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses