Respuesta :

Answer:

Length of the given arc AB = 7.33 in.

Step-by-step explanation:

Formula to calculate the arc length is,

Arc length = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Where θ is the measure of central angle subtended by the arc.

And 'r' = radius of the circle

By substituting the values given in the formula,

Length of arc AB = [tex]\frac{60}{360}\times (2\pi )\times (7)[/tex]

                            = [tex]\frac{14\pi}{6}[/tex]

                            = [tex]\frac{7\pi}{3}[/tex]

                            = 7.33 in.

Therefore, length of the given arc AB = 7.33 in.