Circumferences of two circles are equal. Is i | vedclass

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(A) Yes, it is necessary that their areas be equal.Let the circumferences of two circles be $C_1$ and $C_2$, and their radii be $r_1$ and $r_2$ respec

Vedclass · Accepted Answer

Yes, because their radii must be equal.

Vedclass · Answer

(A) Yes, it is necessary that their areas be equal.Let the circumferences of two circles be $C_1$ and $C_2$, and their radii be $r_1$ and $r_2$ respectively.Given that $C_1 = C_2$, we have $2\pi r_1 = 2\pi r_2$.Dividing both sides by $2\pi$, we get $r_1 = r_2$.The area of a circle is given by $A = \pi r^2$.Since $r_1 = r_2$, it follows that $\pi r_1^2 = \pi r_2^2$, which means $A_1 = A_2$.Therefore, if the circumferences of two circles are equal, their areas must also be equal.

Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?

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