Question

The radius of a sector is 21 cm and it's cental angle is 120degree find the length of the arc and area of the sector and perimeter of the sector

Answer 1

Answer:

perimeter of the sector=108cm

length of the arc=44cm

area of the sector=462cm^2

Step-by-step explanation:

Given:

radius=21cm

cental angle=120degree

To find:

perimeter of the arc= (22/7)*radius+(2*radius)

length of the arc=((2*22/7*radius)/360 degree)cental angle

area of the sector=(22/7*radius^2)/360°×cental angle

Solution:

Perimeterof the arc=22/7*21+2*21

=108cm

length of the arc= ((2*22/7)*21/360 degree)*120

=44cm

Area of the sector =(π×21×21)/360°×120°

=(22/7×21×21)/360°

=22×3×7

=66×7=462cm²