Question

If angle formed at center of circle with radius 'r' is 1°.What is area of sector

Answer 1

Answer:

The area is $\frac{\pi r^2}{180}$

Step-by-step explanation:

Angle formed at the centre $=1^\circ$

The angle in radian will be

$\theta=\frac{\pi}{180}$ radian

If the angle is in radians and radius of the circle is r then the area of the sector is given by

$A=\theta\times r^2$

Therefore, the area is

$A=\frac{\pi}{180}\times r^2$

$\implies A=\frac{\pi r^2}{180}$

Hope this answer is helpful.