Question

Area of a sector is $1540sqcm$, it subtends an angle of $50$% at the centre of the circle.Find the radius of the circle.

• A. $4\sqrt{2}$
• B. $2\sqrt{2}$
• C. $42\sqrt{2}$
• D. $22\sqrt{2}$

Answer 1

Answer: (C)

$42\sqrt{2}$

Area of sector $=1540c{m}^2$

Angle $\theta ={50}^o$

We know Area $=\frac{\theta }{360}\times \pi r^2$

$1540=\frac{50}{360}\times \frac{22}{7}\times r^2$

$r^2=7^2\times 3^2\times 2^3$

$r=42\sqrt{2}$cm