Respuesta :
Answer: 8.4 inches.
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:
[tex]C=2\pi r[/tex]
Where "r" is the radius of the circle.
We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.
Therefore, this is (to the nearest tenth of an inch):
[tex]C=\frac{2\pi (8in)}{6}\\\\C=8.4in[/tex]
The width of the outer edge of each piece of cake 8.4 inches.
SOLUTION:
Given, a circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. We have to find the width of the outer edge of each piece of cake.
We know that the circumference of a circle can be calculated with this formula: [tex]2\pi r[/tex] where "r" is the radius of the circle.
We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces.
Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.
Therefore, this is (to the nearest tenth of an inch):
[tex]\text { Width }=\frac{2 \pi \times 8}{6}=\frac{\pi \times 8}{3}=\frac{8 \pi}{3}=8.377[/tex]
Hence, the cake piece is 8.4 inches wide.