Question

If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60° ?

Answer 1

circumference = 5 * PI = 15.7079632679
arc length   =   circumference • [central angle (degrees) ÷ 360]
arc length   =   15.7079632679 * 60 /360
arc length   =   2.617993878

Answer 2

Answer:

The length of the arc would be 0.02618 m

Step-by-step 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