Question

If areas of two circles are equal, then their circumference are equal.

• A. True
• B. False

Answer 1

The correct option is A True

True:? $A_1=A_2$ [Given]

$\Rightarrow \pi r_1^2=\pi r_2^2$

$\Rightarrow r_1^2=r_2^2$

$\Rightarrow r_1=r_2=r$ [say] [taking square root]

Now. $\frac{C_1}{C_2}=\frac{2\pi r_1}{2\pi r_2}=\frac{r_1}{r_2}=\frac{r}{r}=\frac{1}{1}$

Hence, the given statement is true.