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State true or false.

The numerical value of the area of a circle is greater than the numerical value of its circumference.

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True

False

answer is B.

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Detailed Solution

The area of the circle of radius is equal to

π r 2

and circumference of the circle is

2 π r

.
The condition for the area of circle is more than circumference if the radius of the circle is more than

2

units.
And circumference is more than the area of the circle for

r < 0

, but not a negative value.
So, the correct statement is that the numerical value of the area of a circle is not always greater than the numerical value of its circumference.
Hence, the statement is false.
Therefore, option 2 is correct.

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