Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:
[tex] A = \pi r^{2} [/tex]
Where:
r: is the radius
For the 12-inch pizza we have:
[tex] A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch [/tex]
And for the 6-inch pizza we have:
[tex] A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch [/tex]
The ratio between A₆ and A₁₂ is:
[tex] \frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4} [/tex]
Hence:
[tex] A_{6} = \frac{A_{12}}{4} [/tex]
Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
