princess palace pizza offers two different types of pizza: square pizza and circular pizza. the square pizza is 15 inches long on each side. a square cheese pizza cost 9.00. the circular pizza is 16 inches in diameter and a circular cheese pizza cost $8.75. which pizza is bigger? justify your answer.
A = 15^2
A = _______ square inches
A = pi * 8^2
A = 3.14 * 64
A = _____ square inches
To determine which pizza is bigger, we need to compare their sizes. One is a square pizza with sides measuring 15 inches, and the other is a circular pizza with a diameter of 16 inches.
To compare the two pizzas, we can calculate their areas. The area of a square can be found by multiplying the length of one side by itself (s^2), while the area of a circle can be found using the formula πr^2, where π is the mathematical constant pi (approximately 3.14159) and r is the radius of the circle (half the diameter).
First, let's find the area of the square pizza:
Area of square = side^2 = 15^2 = 225 square inches
Next, let's calculate the area of the circular pizza:
Radius of circle = diameter / 2 = 16 / 2 = 8 inches
Area of circle = πr^2 = 3.14159 * 8^2 = 201.06 square inches (rounded to two decimal places)
Now, let's compare the two areas:
Area of square pizza = 225 square inches
Area of circular pizza = 201.06 square inches
Based on the calculated areas, we can see that the square pizza has a larger area than the circular pizza. Therefore, the square pizza is bigger.
Justification: The square pizza has an area of 225 square inches, while the circular pizza has an area of 201.06 square inches. Since the square pizza has a larger area, it means that it has more surface area for toppings and cheese, making it physically larger than the circular pizza.