Question

13. If the area of a sector of a circle of radies 3 cm Is 6 π cm then find the angle subtended at the centre of circle​

Answer 1

Answer:

240

Step-by-step explanation:

Answer 2

Therefore the angle subtended at center of circle is $240^\circ$

Step-by-step explanation:

To find the angle we need to use the following formula,

$A=\frac{\pi r^2\theta}{360^\circ}$

A= the area of a sector.

r= radius of the circle

θ= the angle subtended at center.

Here A= 6π cm², r = 3 cm

Putting the values in the above equation

$6\pi=\frac{\pi 3^2\times \theta}{360^\circ}$

$\Rightarrow \theta =\frac{6\pi\times 360^\circ}{9\pi}$

$\Rightarrow \theta =240^\circ$

Therefore the angle subtended at center of circle is $240^\circ$