RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 15 of Exercise 18A

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15

The circumferences of two circles are in the ratio 2:3. What is the ratio between their areas?

Given:

Ratio of circumferences of two circles = 2:3


Let the two circles be C1 and C2 with radii ‘r1’ and ‘r2’.


Circumference of circle = 2πr


Circumference of C1 = 2πr1


and Circumference of C2 = 2πr2


=


=


Squaring both sides, we get


=


Multiplying both sides by ‘’, we get


=


Area of circle = πr2


=


Hence, the ratio between the areas of C1 and C2 is 4:9.


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