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Question
If the circumferences of two circles are in the ratio c1 : c2, then the ratio of their areas is ______.
Fill in the Blanks
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Solution
If the circumferences of two circles are in the ratio c1 : c2, then the ratio of their areas is c12 : c22.
Explanation:
C = 2πr so r1 : r2 = c1 : c2.
Area A = πr2
So A1 : A2 = r12 : r22
= c12 : c22
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