Question

if the sector of a circle has an angle 60degree at the centre and its area 20cm^2 then find the area of the same circle​

Answer 1

Answer:

Answer is 2400sq.cm

Step-by-step explanation:

First put the formulae against the area and the put the value of theta then just substitute the value 1/6 on right hand side.

Answer 2

Answer:   Hence the area of circle :  120 square cm

Step-by-step explanation:

Alright, lets get started.

The angle of sector is given as 60 degrees.

If we convert this angle into radians, the angle will be: $60*\frac{\pi }{180}$

So, angle will be : $\frac{\pi }{3}$

Area of sector : $\frac{1}{2} \ angle\ r^2$

$20=\frac{1}{2} \times\frac{\pi }{3} \times r^2$

$r^2=\frac{120}{\pi}$

$r=6.18$

Hence the area of circle will be : $\pi r^2$

Hence the area of circle : $\pi \times 6.18^2$

Hence the area of circle : $120$ square cm   ...........Answer

Hope it will help :)