Question

which would give you more pizza? one 14\ circular pizza or two 7\ pizzas?
a.) find the area of a 14\ pizza. explain.
b.) find the area of two 7\ pizzas.
explain
c.) which would yield more pizza?
explain.

Explanation:

Step1: Define pizza area formula

The area of a circle is $A = \pi r^2$, where $r$ is radius.

Step2: Calculate 14" pizza radius

Diameter = 14", so $r = \frac{14}{2} = 7$ inches

Step3: Compute 14" pizza area

$A_{14} = \pi (7)^2 = 49\pi \approx 153.94$ square inches

Step4: Calculate 7" pizza radius

Diameter = 7", so $r = \frac{7}{2} = 3.5$ inches

Step5: Compute one 7" pizza area

$A_{7} = \pi (3.5)^2 = 12.25\pi$ square inches

Step6: Compute two 7" pizzas area

$A_{2\times7} = 2 \times 12.25\pi = 24.5\pi \approx 76.97$ square inches

Step7: Compare the two total areas

$153.94 > 76.97$, so the 14" pizza has more area.

Answer:

a.) $153.94$ square inches
b.) $76.97$ square inches
c.) One 14" circular pizza