Question

In terms of area, about how much more pizza is given if the diameter is 12 inches compared to one with a diameter of 8 inches?

Answer 1

Answer:

B. 2.3 times more

Step-by-step explanation:

The pizza is circular in shape

The diameter of the large-sized pizza, d₁ = 12 inches

Tha area of the large sized pizza is calculated as:

`\begin{gathered} A_1=\frac{\pi{d^2_1}}{4} \\ A_1=\frac{\pi{12^2}}{4} \\ A_1=\frac{\pi{144^{}}}{4} \\ A_1=36\pi\text{ in}^(2) \end{gathered}`

The diameter of the small-sized pizza, d₂ = 8 inches

The area of the small-sized pizza is calculated as:

`\begin{gathered} A_2=\frac{\pi{d^2_2}}{4} \\ A_2=\frac{\pi{8^2}}{4} \\ A_2=\frac{64\pi{}}{4} \\ A_2=16\pi\text{ in}^(2) \end{gathered}`

Ratio of A₁ to A₂

`\begin{gathered} (A_1)/(A_2)=\frac{36\pi{}}{16\pi} \\ (A_1)/(A_2)=2.25 \\ (A_1)/(A_2)=2.3(to\text{ the nearest 1 dp)} \end{gathered}`

The 12 inches pizza is 2.3 times more than the 8 inches pizza