State whether the following statement is true or false.
If two circles are equal, then their radii are also equal.

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True

False

answer is A.

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Detailed Solution

Here, we have to find whether two circles are equal, then their radii are also equal or not.
Euclid’s axiom 4: Things which coincide with one another are equal to one another.
Let’s consider two equal circles with center D and O respectively. Question Image

Use Euclid’s axiom 4, map both the circles.
Question Image

It is clearly seen that both the circles coincide.
Therefore, the radii of both the circles are equal.
Hence, if two circles are equal, then their radii are also equal.
Thus, the given statement is true.
So, option (1) is correct.

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