A Circular Pizza Has A Diameter Of 12 Inches And Contains 20 Calories Per Square Inch. Approximately How Many Calories Are In The Entire Pizza? (Use { \pi = 3.14$}$)a) 113.04 Calories B) 452.16 Calories C) 2,260.8 Calories D) 9043.2 Calories

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Introduction

When it comes to calculating the total calories in a circular pizza, we need to consider the area of the pizza and the calories per square inch. In this problem, we are given a circular pizza with a diameter of 12 inches and 20 calories per square inch. Our goal is to find the approximate total calories in the entire pizza.

Calculating the Area of the Pizza

To calculate the total calories in the pizza, we first need to find the area of the pizza. The formula for the area of a circle is given by:

A = πr^2

where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Given that the diameter of the pizza is 12 inches, we can find the radius by dividing the diameter by 2:

r = diameter / 2 r = 12 / 2 r = 6 inches

Now, we can plug in the value of the radius into the formula for the area:

A = πr^2 A = 3.14(6)^2 A = 3.14(36) A = 113.04 square inches

Calculating the Total Calories

Now that we have the area of the pizza, we can calculate the total calories by multiplying the area by the calories per square inch:

Total Calories = Area x Calories per Square Inch Total Calories = 113.04 x 20 Total Calories = 2260.8 calories

Conclusion

In conclusion, the approximate total calories in the entire pizza is 2260.8 calories. This is the correct answer among the given options.

Discussion

This problem requires the application of mathematical concepts, specifically the formula for the area of a circle and the concept of multiplication. It also requires the use of a mathematical constant, π (pi), which is approximately equal to 3.14.

Tips and Tricks

  • When calculating the area of a circle, make sure to use the correct formula: A = πr^2
  • When multiplying the area by the calories per square inch, make sure to use the correct order of operations: Total Calories = Area x Calories per Square Inch
  • When using a mathematical constant, such as π (pi), make sure to use the correct value: π ≈ 3.14

Related Problems

  • A circular pizza has a diameter of 10 inches and contains 15 calories per square inch. Approximately how many calories are in the entire pizza?
  • A circular pizza has a diameter of 15 inches and contains 25 calories per square inch. Approximately how many calories are in the entire pizza?

Solutions to Related Problems

  • A circular pizza has a diameter of 10 inches and contains 15 calories per square inch. Approximately how many calories are in the entire pizza? A = πr^2 A = 3.14(5)^2 A = 3.14(25) A = 78.5 square inches Total Calories = Area x Calories per Square Inch Total Calories = 78.5 x 15 Total Calories = 1177.5 calories
  • A circular pizza has a diameter of 15 inches and contains 25 calories per square inch. Approximately how many calories are in the entire pizza? A = πr^2 A = 3.14(7.5)^2 A = 3.14(56.25) A = 176.625 square inches Total Calories = Area x Calories per Square Inch Total Calories = 176.625 x 25 Total Calories = 4416.5625 calories

Conclusion

In conclusion, the approximate total calories in the entire pizza are 2260.8 calories, 1177.5 calories, and 4416.5625 calories for the three related problems, respectively.

Introduction

In our previous article, we calculated the total calories in a circular pizza with a diameter of 12 inches and 20 calories per square inch. In this article, we will answer some frequently asked questions related to the problem.

Q&A

Q: What is the formula for the area of a circle?

A: The formula for the area of a circle is given by:

A = πr^2

where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Q: How do I calculate the radius of a circle?

A: To calculate the radius of a circle, you need to divide the diameter by 2:

r = diameter / 2

Q: What is the value of π (pi)?

A: The value of π (pi) is approximately equal to 3.14.

Q: How do I calculate the total calories in a pizza?

A: To calculate the total calories in a pizza, you need to multiply the area of the pizza by the calories per square inch:

Total Calories = Area x Calories per Square Inch

Q: What is the approximate total calories in a pizza with a diameter of 10 inches and 15 calories per square inch?

A: To calculate the total calories in this pizza, you need to follow these steps:

  1. Calculate the area of the pizza: A = πr^2 A = 3.14(5)^2 A = 3.14(25) A = 78.5 square inches
  2. Multiply the area by the calories per square inch: Total Calories = Area x Calories per Square Inch Total Calories = 78.5 x 15 Total Calories = 1177.5 calories

Q: What is the approximate total calories in a pizza with a diameter of 15 inches and 25 calories per square inch?

A: To calculate the total calories in this pizza, you need to follow these steps:

  1. Calculate the area of the pizza: A = πr^2 A = 3.14(7.5)^2 A = 3.14(56.25) A = 176.625 square inches
  2. Multiply the area by the calories per square inch: Total Calories = Area x Calories per Square Inch Total Calories = 176.625 x 25 Total Calories = 4416.5625 calories

Q: How do I calculate the total calories in a pizza with a diameter of 12 inches and 20 calories per square inch?

A: To calculate the total calories in this pizza, you need to follow these steps:

  1. Calculate the area of the pizza: A = πr^2 A = 3.14(6)^2 A = 3.14(36) A = 113.04 square inches
  2. Multiply the area by the calories per square inch: Total Calories = Area x Calories per Square Inch Total Calories = 113.04 x 20 Total Calories = 2260.8 calories

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of calculating the total calories in a circular pizza. We have also provided step-by-step solutions to the problem for different diameters and calories per square inch.

Tips and Tricks

  • When calculating the area of a circle, make sure to use the correct formula: A = πr^2
  • When multiplying the area by the calories per square inch, make sure to use the correct order of operations: Total Calories = Area x Calories per Square Inch
  • When using a mathematical constant, such as π (pi), make sure to use the correct value: π ≈ 3.14

Related Problems

  • A circular pizza has a diameter of 8 inches and contains 10 calories per square inch. Approximately how many calories are in the entire pizza?
  • A circular pizza has a diameter of 18 inches and contains 30 calories per square inch. Approximately how many calories are in the entire pizza?

Solutions to Related Problems

  • A circular pizza has a diameter of 8 inches and contains 10 calories per square inch. Approximately how many calories are in the entire pizza? A = πr^2 A = 3.14(4)^2 A = 3.14(16) A = 50.24 square inches Total Calories = Area x Calories per Square Inch Total Calories = 50.24 x 10 Total Calories = 502.4 calories
  • A circular pizza has a diameter of 18 inches and contains 30 calories per square inch. Approximately how many calories are in the entire pizza? A = πr^2 A = 3.14(9)^2 A = 3.14(81) A = 254.34 square inches Total Calories = Area x Calories per Square Inch Total Calories = 254.34 x 30 Total Calories = 7630.2 calories

Conclusion

In conclusion, we have provided step-by-step solutions to the problem of calculating the total calories in a circular pizza for different diameters and calories per square inch.