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Question

If the circumference of a circle is 'C' and its radius is 'r', then which of the following relations is true for any circle?

A
C > 6r
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B
C < 6r
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C
C > 7r
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D
C > 8r
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Solution

The correct option is A C > 6r
Circumference(C) of a circle of radius r
= 2 π r
We also know that π = 3.141
So, C = 2 π r = 2 x 3.141 x r
⇒ C = 6.282r
We know that , 6.28 > 6
Multiplying both sides with r(r>0).
We get, 6.28r > 6r
Hence, C = 6.28r > 6r

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