Pi (π) Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Pi (π).
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
The ratio of a circle's circumference to its diameter, approximately 3.14159\ldots
No matter how big or small the circle, circumference \div diameter always equals \pi.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: \pi is an irrational constant that appears whenever circles are involved.
Common stuck point: \pi is exact, even though we can only write approximations.
Sense of Study hint: Try measuring the circumference and diameter of a round object (like a plate), then divide circumference by diameter to see pi appear.
Worked Examples
Example 1
easySolution
- 1 Step 1: The formula for circumference is C = \pi d, where d is the diameter.
- 2 Step 2: Substitute the values: C = 3.14 \times 10.
- 3 Step 3: Calculate: C = 31.4 cm.
Answer
Example 2
mediumExample 3
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
hardRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.