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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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
12