Respuesta :
arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI
arc length = 63 * 2PI/9 radians
arc length = 14 PI
Answer:
[tex]14\pi\ cm[/tex]
Step-by-step explanation:
we know that
The formula to calculate the arc length of the circle is equal to
[tex]arc\ length=r \theta[/tex]
where
[tex]r[/tex] is the radius
[tex]\theta[/tex] is the central angle in radians
In this problem we have
[tex]r=63\ cm[/tex]
[tex]\theta=\frac{2\pi}{9}[/tex]
substitute the values
[tex]arc\ length=63(\frac{2\pi}{9})[/tex]
[tex]arc\ length=14\pi\ cm[/tex]