Answer:
[tex]\frac{35\pi }{3} cm[/tex]
Step-by-step explanation:
Arc formula when given in degrees:
Arc= degrees x [tex]\pi[/tex]/180 x radius
Let's plug in the numbers. Note that it is in terms of pi so we have to make the final answer with pi in it. (simplify!)
Let's also note that this is stating the major arc, which means we need the arc distance for the 'pacman' shape, not the actual mouth.
Since a circle is 360 degrees and the minor arc is 60 degrees, the degree of the major arc should be 300. Radius is the same.
Arc= 300 x [tex]\pi[/tex]/180 x 7
Let's simplify.
Arc=5[tex]\pi[/tex]/3 x 7
Arc=35[tex]\pi[/tex]/3 cm
