A circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. How many inches wide, to the nerest tenth of an inch, is the outer edge of each piece of cake?

Respuesta :

Answer:  8.4 in

Step-by-step explanation:

First we calculate the circumference.

The formula to calculate the circumference is:

[tex]C = 2\pi r[/tex]

Where r is the radius of the circumference

In this case [tex]r = 8[/tex] inches

So:

[tex]C = 2\pi(8)[/tex]

[tex]C = 2\pi(8)[/tex]

[tex]C = 50.265\ in[/tex]

The cake is divided into 6 equ pieces, so the arc length of each piece is:

[tex]\frac{50.265}{6}=8.4\ in[/tex]