Question

The difference between the circumference and radius of a circle is $30\pi$. Find the diameter of circle.

• A. $\frac{30\pi }{2\pi -1}$
• B. $\frac{60\pi }{2\pi -1}$
• C. $\frac{2\pi -1}{60\pi }$
• D. None

Answer 1

The correct option is B $\frac{60\pi }{2\pi -1}$

$2\pi r-r=30\pi$

$\Rightarrow r\times (2\pi -1)=30\pi$

$\Rightarrow d=2r=\frac{60\pi }{2\pi -1}$

Ans-Option $B$.