Question

find the area of a sector whose perimeter is 64cm and length of the arc is 44cm

Answer 1

Step-by-step explanation:

Let radius of the circle be r and length of arc be l

l = 44 cm

Perimeter of sector = 64

2r + l = 64

2r + 44 = 64

2r = 64 - 44

2r = 20

r = 20/2

r = 10 cm

Area of sector = 1/2 x r x l

= 1/2 x 10 x 44

= 220 square cm

Thus area of the sector = 220 square cm.