Question

The perimeter of a quadrant of a circle of radius $\frac{7}{2}$ cm is:

• A. $3.5cm$
• B. $5.5cm$
• C. $7.5cm$
• D. $12.5cm$

Answer 1

The correct option is D $12.5cm$

Radius of quadrant $=\frac{7}{2}cm$

Perimeter of quadrant $=$ length of arc +($2\times$ radius)

$=(\frac{1}{4}\times 2\pi r)+2\times \frac{7}{2}=(\frac{1}{4}\times 2\times \frac{22}{7}\times \frac{7}{2})+7=\frac{11}{7}+7=5.5+7=12.5cm$