Question

Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is ____________.

Options

• 35 cm

• 25 cm

• 77 cm

• 7 cm

Answer 1

The perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is 25 cm.

Explanation:

Perimeter of sector `= 2"r" + (2 pi "r"  theta)/360`

`= 2"r" + 7 + 2 xx 22/7 xx 7 xx 90/360`

`= 14 + 11 = 25  "cm"`