Question

If $C$ is the circumference of a circle of radius $R$. Then which of the following statement is true

• A. $\frac{C}{R}<6$
• B. $\frac{C}{R}>6$
• C. $\frac{C}{R}=6$
• D. $\frac{C}{R}=\pi$

Answer 1

The correct option is B

$\frac{C}{R}>6$

Explanation for correct answer

We know that for a circle of radius $R$ the circumference$\left(C\right)$

$C=2\pi R$

From this circumference formula we get

$\begin{array}{rcl}\frac{C}{R}& =& 2\pi \\ & =& 2·\frac{22}{7}\\ & =& \frac{44}{7}\\ & =& 6.29\\ \therefore \frac{C}{R}& >& 6\end{array}$

Hence, as $\frac{C}{R}>6$ , the correct option is B.