Question

The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is :

• A. $$8.5cm^2$$
• B. $$8.75cm^2$$
• C. $$7.75cm^2$$
• D. $$7.50cm^2$$

Answer 1

Answer:

$$8.75cm^2$$

Here, l = arc length= 3.5 cm

r = radius = 5 cm

Area of sector $=\frac{1}{2}\times{lr}$

$= \frac{1}{2}\times{3.5}\times{5}=\frac{1}{2}\times{\frac{7}{2}}\times{5}$

$=\frac{35}{4}=8.75cm^2$