Question

Find the length of the arc of a circle with radius $0.7$ m and area of the sector is $0.49m^2$.

• A. $1.4$ m
• B. $2.4$m
• C. $0.7$m
• D. None of these

Answer 1

The correct option is A $1.4$ m

Area of the circle= $A=\pi r^2$

radius of circle = 0.7 m,

Area of the sector =

$A=\frac{\theta }{360°}\pi r^2$

$0.49=\frac{\theta }{360°}\pi {0.7}^2$

$\frac{\theta }{360°}=\frac{1}{\pi }$

length of the arc of a circle=

$l=\frac{2\pi r\theta }{360}=\frac{2\pi 0.7}{360}\ast \frac{360}{\pi }=1.4m$

Answer 1.4 m