Question

The perimeter of a quadrant of a circle of radius $r$ is:

• A. $\frac{\pi r}{2}$
• B. $2\pi r$
• C. $\frac{r}{2}[\pi +4]$
• D. $2\pi r+\frac{r}{2}$

Answer 1

Answer: (C)

$\frac{r}{2}[\pi +4]$

Perimeter of quadrant of a circle $=\frac{1}{4}\times 2\pi \times r+2r$

$=\frac{\pi r}{2}+2r=\frac{r}{2}[\pi +4]$