Answer:
Option 3 - 8.65
Step-by-step explanation:
Given : The arc intercepted by a central angle of 62° on a circle with radius 8.
To find : What is the length of the arc?
Solution :
The formula to find arc length is
[tex]l=2\pi r\times (\frac{\theta}{360^\circ})[/tex]
Where, l is the length of the arc
r is the radius of the circle r=8
[tex]\theta=62^\circ[/tex] is the angle subtended
Substitute the values in the formula,
[tex]l=2\times 3.14\times 8\times (\frac{62^\circ}{360^\circ})[/tex]
[tex]l=50.24\times 0.1722[/tex]
[tex]l=8.65[/tex]
Therefore, option 3 is correct.
The length of the arc is 8.65 unit.
