Question

PLEASE HURRY! EXTRA POINTS IF CORRECT!

A pizza parlor in Los Angeles sells a pizza with a 14-inch diameter. A pizza parlor in London sells a pizza with a 25.4-centimeter diameter.

Part A: How many square inches of pizza is the pizza from Los Angeles? Show every step of your work. (1 point)

Part B: How many square centimeters of pizza is the pizza from London? Show every step of your work. (1 point)

Part C: If 1 in. = 2.54 cm, which pizza has the larger area? Show every step of your work. (1 point)

Part D: Using the diameter of each pizza, determine the scale factor relationship between the pizzas. (1 point)

Answer 1

Explanation:

just dived are multiple both number and see what u get

Answer 2

A: 153.94 square inches
B: 506.71 square centimeters
C: Pizza from Los Angeles
D: London pizza's diameter is about 0.713 times the diameter of the LA pizza

Explanation:

Part A:

The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

Given the diameter of the pizza from Los Angeles is 14 inches, the radius (r) is half of the diameter, so r = 14 / 2 = 7 inches.

Now, plug this value into the formula:

A = π * (7 inches)²

A = π * 49 square inches

A ≈ 153.94 square inches

So, the pizza from Los Angeles has an area of approximately 153.94 square inches.

Part B:

Given the diameter of the pizza from London is 25.4 centimeters, the radius (r) is half of the diameter, so r = 25.4 / 2 = 12.7 centimeters.

Now, plug this value into the formula:

A = π * (12.7 centimeters)²

A = π * 161.29 square centimeters

A ≈ 506.71 square centimeters

So, the pizza from London has an area of approximately 506.71 square centimeters.

Part C:

Given that 1 inch is equal to 2.54 centimeters, we can use this conversion factor to compare the areas.

The area of the Los Angeles pizza is 153.94 square inches. Convert this to square centimeters:

153.94 square inches * (2.54 cm/inch)² ≈ 993.43 square centimeters

The area of the London pizza is 506.71 square centimeters.

Clearly, the pizza from Los Angeles has a larger area than the pizza from London.

Part D:

The scale factor relationship between the pizzas can be determined by comparing their diameters.

Diameter of LA pizza = 14 inches

Diameter of London pizza = 25.4 centimeters

Convert the diameter of the LA pizza to centimeters:

14 inches * 2.54 cm/inch = 35.56 centimeters

Now we can determine the scale factor:

Scale factor = Diameter of London pizza / Diameter of LA pizza

Scale factor = 25.4 cm / 35.56 cm ≈ 0.713

This means that the London pizza's diameter is about 0.713 times the diameter of the LA pizza, or about 71.3% of the size.