What is the length of arc of a sector, whose perimeter is 64.8cm and radius is 12.4 cm?
Answers
Given : perimeter of arc is 64.8cm and radius is 12.4 cm
To find : length of arc of sector
Solution:
Perimeter of an arc
= radius + arc length + radius
Perimeter of arc = 64.8 cm
radius = 12.4 cm
=> 64.8 = 12.4 + arc length + 12.4
=> 64.8 = 24.8 + arc length
=> arc length = 40 cm
Additional info
Arc angle = α
then (α /360 ) 2π (12.4) = 40
=> α = 184.8°
Angle of sector = 184.8°
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Length of arc of a sector = 40 CM
Explanation:
Given:
Perimeter of sector = 64.8 cm
Radius = 12.4 cm
Find:
Length of arc of a sector
Computation:
Length of arc of a sector = Perimeter of sector - 2(Radius)
Length of arc of a sector = 64.8 - 2(12.4)
Length of arc of a sector = 64.8 - 24.8
Length of arc of a sector = 40 CM
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