Q. 11 I5.0( 3 Votes )

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If the ratio of the area of two circles is 1: 4, then the ratio of their circumference …..

A. 1: 4

B. 1: 2

C. 4: 1

D. 2: 1

Answer :

let r1, r2 are the radii of two circles


given,


πr12: πr22 = 1 : 4


r12: r22 = 1 : 4


r1 : r2 =1 : 2


r2 = 2 r1


circumference of 1st circle = 2πr1


circumference of 2nd circle = 2πr2 = 2π(2r1) = 4πr1


ratio of circumference = 2πr1 : 4πr1 = 1 : 2


So, option(b) is the correct answer.

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