Question

The area of the sector of a circle of radius 12 cm is 60π cm². The central angle of this sector is ______.

विकल्प

• 120°

• 6°

• 75°

• 150°

Answer 1

The area of the sector of a circle of radius 12 cm is 60π cm². The central angle of this sector is 150°.

Explanation:

Area of sector = 60π cm²

Radius r = 12 cm

`"Area of sector" = θ/360xxpir^2`

`60pi = θ/360xxpixx12^2`

`60pi = θ/360xxpixx144`

`60 = θ/360xx12^2`

`60xx360/144=θ`

`θ= 150`

Thus, the central angle of this sector is 150°