If the circumference of two circles are in the ratio 1 2 what is the ratio of their areas

The ratio of the lengths of the two circles is 5: 2. Find the ratio of a a) the radii of these circles b) the areas for these circles

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Can we take pictures of the problem


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The circumference of two circles are in the ratio 2: 3. Find the ratio of their areas.

Solution

Let r1 and r2 be the radii of two given circles and C1 and C2 be their circumference.

Then, C1:C2=2:3

2πr1:2πr2=2:3

r1:r2=2:3

r21:r22=4:9

πr21:πr22=4:9

Hence, ratio of areas is 4:9.


Mathematics

RD Sharma

Standard X


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