Question

A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?

Answer 1

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:

$A = \pi r^{2}$

Where:

r: is the radius

For the 12-inch pizza we have:

$A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch$

And for the 6-inch pizza we have:

$A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch$

The ratio between A₆ and A₁₂ is:

$\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}$

Hence:

$A_{6} = \frac{A_{12}}{4}$

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!