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Why is this concept useful?: The constant pi helps us understand how to measure angles, how to measure circles. Pi remains constant no matter how big or small a circle is.
Where does this concept fit into the curriculum?: High School

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What is pi?

The circumference of a circle divided by the diameter of a circle gives us the value pi. Pi is equal to roughly the value 3.14159265… (it is an irrational number) but can be roughly estimated to equal 22/7.

How to use pi:
Pi = Circumference/Diameter

For example, if we had to calculate the circumference of a circle with a diameter of 100 cm, we would do the following:

\begin{array}{l} \ \Pi \ =\ \frac{circumference}{diameter} \ =\frac{x}{100\ cm\ } \ \\ \\ 100\ cm\ *\ \ \Pi =\ 314.5\ cm \end{array}

Sample Math Problems

Question 1: John walked 250 cm around in a circle. What was the diameter of the circle he walked?

Answer:

\begin{array}{l} \Pi \ =\ \frac{circumference}{diameter} \ =\frac{250\ cm}{x} \ \\ \\ \frac{250\ cm}{\Pi } \ =\ 79\ cm \end{array}

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Practice Math Problems

Question 1: What is the circumference of a circle with a diameter of 15 cm?

Question 2: What is the circumference of a circle with a diameter of 150 cm?

Question 3: What is the diameter of a circle with a circumference of 10 cm?

Question 4: What is the diameter of a circle with a circumference of 200 cm?

Question 2: Tracy measured 94 cm around the outside of a pipe. What is the pipe’s diameter?

Answer:

\begin{array}{l} \Pi \ =\ \frac{circumference}{diameter} \ =\frac{94\ cm}{x} \ \\ \\ \frac{94\ cm}{\Pi } \ =\ 30\ cm \end{array}

Question 3: What is the circumference of a circle with a diameter of 20 cm?

Answer:

\begin{array}{l} \Pi \ =\ \frac{circumference}{diameter} \ =\frac{x}{20\ cm\ } \ \\ \\ 20\ cm\ *\ \ \Pi =\ 62.83\ cm \end{array}

Question 4: What is the circumference of a circle with a diameter of 30 cm?

Answer:

\begin{array}{l} \Pi \ =\ \frac{circumference}{diameter} \ =\frac{x}{30\ cm\ } \ \\ \\ 30\ cm\ *\ \ \Pi =\ 94.2\ cm \end{array}

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Numbers Worksheets

What is pi?

Related Topics

Normal Distribution

Tossing a Coin

Properties of Exponents

Solve for x

Math Tutoring to Boost Your Child’s Math Skills & Scores by 90% in Just 3 Months – Guaranteed!

Sample Math Problems

Download FREE Math Resources

8 Math Hacks and Tricks to Turn Your 'Okay' Math Student Into a Math Champion!

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

Practice Math Problems