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laila [671]
3 years ago
6

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

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0
<span>circumference = 5 * PI = </span><span><span><span>15.7079632679 </span> </span> </span>
<span>arc length   =   circumference • [central angle (degrees) ÷ 360]
</span>arc length   =   <span><span>15.7079632679 </span> * 60 /360
</span>arc length   =   <span> <span> <span> 2.617993878 </span> </span> </span>


lilavasa [31]3 years ago
5 0

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

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