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State true or false.

Circumferences of two circles are equal. Their areas are also equal.

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True

False

answer is A.

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Detailed Solution

It is given that, circumference of

2

circles are equal.
The circumference of the circle is equal to

2 π r

2 π r 1 = 2 π r 2

And

r 1 = r 2 = r

Then the area of the first circle is given by,

A 1 = π r 1 2

And the area of another circle is,

A 2 = π r 2 2

And

π r 1 2 = π r 2 2

since

r 1 = r 2

2

circles with the same circumference have the same radius and have a constant value.
The area of

2

circles with equal radius will also be equal.
Hence, the statement is true.
Therefore, option 1 is correct.

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