1.

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

Answer»

Length of the arc of the sector l = 44 cm

Perimeter of the sector P = 64 cm

l + 2r = 64 cm

44 + 2 r = 64 .

2 r = 64 – 44

2 r = 20

r = 20/2 = 10 cm2

Area of the sector = lr/2 sq. units 

= (44×10)/2 cm2 

= 22 × 10 cm2 

= 220 cm2

Area of the sector = 220 cm2



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