Find the area of a sector whose perimeter is 64cm and length of arc is 44cm.
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Step-by-step explanation:
Given length of arc = 44cm
perimeter = 64cm
from the formula....
2r + L = 64
2r + 44 = 64
2r = 64 - 44
2r = 20
r = 20/2
r = 10 cm
Area of sector = lr/2
we knkw l = 44cm and r = 10cm
lr/2 = (44 × 10)÷ 2
= 440/2
= 220cm²
so the Area of sector = 220cm²
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