Answer:
The length of the arc would be 0.02618 m
Explanation:
Given that;
diameter d = 5 cm = 5 cm ÷ 100 cm/m = 0.05 m
the radius r = 0.05 m ÷ 2 = 0.025 m
Angle subtended by the arc θ = 60°
The length of an arc subtended by an angle can be obtained using the expression;
S = r θ ...........1
where S is the length of the arc in meters
r is the radius of the arc
θ is the angle in radians
Converting of 60° to radians
1° = π/180 rads
60° = 60° × π/180 rad / degree = π/3 rads
putting the value into equation 1 we have
S = 0.025 m x π/3 rads
S = 0.02618 m
Therefore the length of the arc would be 0.02618 m