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The radius of two circles are in the ratio 3 : 5, find the ratio between their circumferences. - Mathematics

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Question

The radius of two circles are in the ratio 3 : 5, find the ratio between their circumferences.

Sum

Solution

The ratio of the radius of the circles = 3 : 5

Let the radius of the first circle = 3x
and radius of the second circle = 5x

∴ Circumference of the first circle = 2πr

= 2π × 3x = 6πx

and circumference of the second circle = 2πr

= 2π × 5x = 10x

∴ The ratio between their circumference
= 6πx : 10πx
= 6 : 10
= 3 : 5

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Chapter 20: Mensuration - Exercise 20 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 20 Mensuration
Exercise 20 (A) | Q 21
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