Answer:
θ = 76.4°
θ = 1.33 radians
Step-by-step explanation:
Length of an arc is given as
L = (θ/360) × 2πr
L = 4 m
θ = angle subtended at the centre of the circle by the arc in degrees = ?
r = radius of the circle = 3 m
4 = (θ/360) × 2π(3)
θ = (4×360)/6π
θ = 76.4°
L = θ r
where θ = angle subtended at the centre of the circle by the arc in radians
4 = θ × 3
θ = (4/3) = 1.33 radians
OR we could do a direct conversion
360° = 2π radians
76.4° = (76.4 × 2π)/360
θ = (4/3) radians = 1.33 radians
Hope this Helps!!!
Step-by-step explanation:
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