Respuesta :
Answer:
The length of the arc is 14.13 meter.
Step-by-step explanation:
Given : A circle has a radius of 5. An arc in this circle has a central angle of 162º.
To find : What is the length of the arc?
Solution :
The circumference of circle is [tex]C=\pi d[/tex]
Radius is r=5
Diameter is d=10
Circumference is [tex]C=10\pi[/tex]
The angle is 162º.
The length of the arc is given by,
[tex]l=\frac{\text{Central angle}}{360}\times C[/tex]
The length of the arc is
[tex]l=\frac{162}{360}\times 10\pi[/tex]
[tex]l=0.45\times 10\pi[/tex]
[tex]l=14.13[/tex]
Therefore, the length of the arc is 14.13 meter.
