Question

The outer circle has center $O$ and circumference $p$. $OT$ is a diameter of the inner circle.

The circumference of the inner circle

$\frac{1}{2}p$

• A. If the quantity in Column A is greater
• B. If the quantity in Column B is greater
• C. If the two quantities are equal
• D. If the relationship cannot be determined from the information given

Answer 1

Answer: (C)

If the two quantities are equal

Let the radius of outer circle be $r$.

Circumference $p$ of outer circle is $2\times \pi \times r$

$i.e.p=2\pi r$.

Now the radius of inner circle is $\frac{r}{2}$, so the circumference of innercircle is $2\times \pi \times \frac{r}{2}=\pi \times r=\frac{p}{2}$.

Therefore, the quantities in two columns are equal.

So, the correct option is $C$.