Question

the diameter of a small pizza is 9 inches. how much more area of pizza do you get if you order a medium pizza with a diameter of 12 inches? use 3.14 for pi and round your answer to the nearest hundredth. (two decimal places)
you would get in² more area of pizza.

Explanation:

Step1: Find radius of small pizza

Radius $r_1 = \frac{9}{2} = 4.5$ inches.

Step2: Calculate area of small pizza

Area formula: $A = \pi r^2$. So $A_1 = 3.14 \times 4.5^2 = 3.14 \times 20.25 = 63.585$ in².

Step3: Find radius of medium pizza

Radius $r_2 = \frac{12}{2} = 6$ inches.

Step4: Calculate area of medium pizza

$A_2 = 3.14 \times 6^2 = 3.14 \times 36 = 113.04$ in².

Step5: Find the difference in area

Difference $= A_2 - A_1 = 113.04 - 63.585 = 49.455 \approx 49.46$ in².

Answer:

49.46