Question

The area of a sector of a circle of radius $8$ cm, formed by an arc of length $5.6$ cm, is

• A. $22.4{\text{cm}}^2$
• B. $2.24{\text{cm}}^2$
• C. $56{\text{cm}}^2$
• D. none of these

Answer 1

The correct option is A $22.4{\text{cm}}^2$

Given: radius of the circle, $r=8$cm

arc length, $l=5.6$cm

The area of a sector of a circle, $A=\frac{1}{2}lr$

$=\frac{1}{2}\times 8\times 5.6$

$A_s=22.4c{m}^2$.