Question

The perimeter of the sector whose radius is 14 cm and angle at the centre 45 ° then

Answer 1

radius (r) = 14 cm

central angle 45°

Arc length = ?, area of sector = ? and perimeter of sector = ?

As we know,

(a) Length of arc =

⇒ Length of arc = 11cm

(b) Area of sector =

⇒ area of sector = 77cm2

(c) perimeter of sector = r + r + length of arc

= 2 ( r) + length of arc

= 2(14) + 11

= 28 + 11 = 39cm