Question

The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is ____________.

विकल्प

• 31.2 cm²

• 15 cm²

• 15.6 cm²

• 16.6 cm²

Answer 1

The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is 15.6 cm².

Explanation:

The perimeter of a sector of a circle

`= theta/360^circ xx 2 pi "r" + 2 "r"`

`=> (theta/360^circ xx 2 pi xx 5.2) + (2 xx 5.2) = 16.4`

`=> theta/360^circ pi = (16.4 - 10.4)/10.4 = 6/10.4`

Area of sector of circle `theta/360 xx pi "r"^2`

`= 6/10.4 xx (5.2)^2 = 15.6  "cm"^2`