Question

The perimeter of the sector of a circle of radius 14 cm and angle 45° is:​

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

perimeter of sector is length of arc + 2 radius

length of arc = thetha / 180 × pie × r

45 /180× π × 14 =7/2×π

so

7/2 ×π +2×14=11+28

=39

hope, this helps you