A sector is cut from a circle of radius 42cm the angle of sector is 120 degree find the length of its arc and area.
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Dear Student,
◆ Answer -
Length of arc = 88 cm
Area of sector = 1848 sq.cm
● Explanation -
# Given -
r = 42 cm
θ = 120°
# Solution -
Length of arc is given by -
l = 2πr × θ/360°
l = 2 × 22/7 × 42 × 120/360
l = 44 × 6 × 1/3
l = 88 cm
Area of the sector is given by -
A = πr^2 × θ/360°
A = 22/7 × 42^2 × 120/360
A = 22 × 6×42 × 1/3
A = 44 × 42
A = 1848 sq.cm
Hope this helps you...
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