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 r_{1}, r_{2} are the radii of two circles

given,

πr_{1}^{2}: πr_{2}^{2} = 1 : 4

r_{1}^{2}: r_{2}^{2} = 1 : 4

r_{1} : r_{2} =1 : 2

r_{2} = 2 r_{1}

circumference of 1^{st} circle = 2πr_{1}

circumference of 2^{nd} circle = 2πr_{2} = 2π(2r_{1}) = 4πr_{1}

ratio of circumference = 2πr_{1} : 4πr_{1} = 1 : 2

So, option(b) is the correct answer.

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