A circle has a radius of 63 cm.

What is the arc length intercepted by a central angle that measures 2π/9 radians?

Express the answer in terms of π .

Respuesta :

arc length = radius * central angle (in radians)
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]