Answer:
Angle of Arc θ = 200°
Explanation:
Given:
Length of arc = 5π
Radius of circle = 4.5 unit
Find:
Angle of Arc θ
Computation:
Using length of arc formula
Length of arc = [θ/360][2πr]
Putting value or length of arc and radius in given formula;
5π = [θ/360][(2)π(4.5)]
5π = [θ/360][9π]
5 = [θ/360][9]
5 = [θ/40]
θ = 40 x 5
θ = 200
Angle of Arc θ = 200°