Question

Two circles are congruent, if they have

• A. Same centre
• B. Equal circumference
• C. Equal radius
• D. Both (b) and (c)

Answer 1

The correct option is D Both (b) and (c)

Consider two circles $C_1$ and $C_2$ with different centres $O$ and $O^{\prime }$ respectively.



The two circles can be congruent if they have the same radius.

If the radius of two circles is equal, their circumference will also be equal.
Thus, $C_1(O,r)=C_2(O^{\prime },r)$.
So, two circles are congruent if they have equal radius and equal circumference.
Thus, option d is correct.