Area of sector of a circle of radius 14 cm is 24.5 pie cm^2, find length of arc
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Dear Student,
◆ Answer -
Length of arc = 11 cm
● Explanation -
Area of a sector is given by -
Area of sector = πr^2 × θ/360
24.5π = π × 14^2 × θ/360
θ = 24.5 × 360 / 196
θ = 45°
Length of the arc is given by -
Length of arc = 2πr × θ/360
Length of arc = 2π × 14 × 45/360
Length of arc = 11 cm
Hence, length of the arc is 11 cm.
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