Question

Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.​

Answer 1

Hey Dear,

◆ Answer -

Area of the sector = 22.73 m^2

● Explaination -

Given -

p = 64 cm

l = 44 cm

Solution -

Perimeter of sector is calculated as -

p = l + 2r

64 = 44 + 2r

2r = 64 - 44

r = 10 cm

Length of arc is calculated as -

l = rθ

44 = 10 × θ

θ = 10/44

θ = 5/22 rad

Area of sector is calculated as -

A = r²θ

A = 10² × 5/22

A = 100 × 5/22

A = 22.73 m^2

Therefore, area of the sector is 22.73 m^2.

Thanks dear...