Calculating Circle Circumference and Area with Pi

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Questions and Answers

What is the formula for finding the circumference of a circle?

  • Circumference = Pi × radius
  • Circumference = 2 × Pi × radius
  • Circumference = Pi × diameter (correct)
  • Circumference = 2 × diameter

What is the result of squaring a number?

  • Adding 2 to the number
  • Subtracting 2 from the number
  • Dividing the number by 2
  • Multiplying the number by itself (correct)

What is the difference between the circumference and area of a circle?

  • The circumference is always greater than the area
  • The circumference is a 2-dimensional quantity, while the area is a 1-dimensional quantity
  • The circumference is a 1-dimensional quantity, while the area is a 2-dimensional quantity (correct)
  • The circumference is always less than the area

To find the area of a pizza with a diameter of 24 inches, what is the first step?

<p>Divide the diameter by 2 (C)</p> Signup and view all the answers

What is the approximate circumference of a circle on the equator of the Earth?

<p>40,055 km (D)</p> Signup and view all the answers

What is the reason why the formulas for circumference and area have similarities?

<p>Both use the ratio Pi (C)</p> Signup and view all the answers

What is the dimension of the circumference of a circle?

<p>1-dimensional (A)</p> Signup and view all the answers

What is the result of dividing the diameter of a circle by 2?

<p>The radius (B)</p> Signup and view all the answers

What is the difference between the radius squared and 2 times the radius?

<p>They are completely different (A)</p> Signup and view all the answers

What is the unit of measurement of the area of a circle?

<p>Square inches (D)</p> Signup and view all the answers

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Study Notes

  • The video is about using the ratio Pi to calculate the circumference and area of a circle.
  • The formula for finding the circumference is: Circumference = Pi × diameter.
  • The formula for finding the area is: Area = Pi × radius squared.
  • Squaring a number means multiplying it by itself.
  • The radius squared is not the same as 2 times the radius.
  • The formulas for circumference and area have similarities, but also important differences.
  • The circumference is a 1-dimensional quantity, while the area is a 2-dimensional quantity.
  • The circumference of a circle on the equator of the Earth is approximately 40,055 km.
  • To find the area of a pizza with a diameter of 24 inches, first calculate the radius by dividing the diameter by 2, then square the radius and multiply by Pi. The total area is 452.16 square inches.

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