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

Since C = $2\pi r\Rightarrow C=\pi \left(2r\right)$ but 2r = d
Hence C = $\pi d\Rightarrow \pi =\frac{C}{d}\Rightarrow \frac{C}{r}=2\pi$
$\Rightarrow \frac{C}{2}=2\left(\frac{22}{7}\right)>6$