How to Find the Area and Circumference of Circles? (+FREE Worksheet!)
Learn how how to find the Area and Circumference of Circles when you have the radius or the diameter of the circle.
Parts of a Circle: what to notice and how to work it
What to notice first
Common student mistake
Key formulas and cues
A reliable path
- Label the diagramWrite each given measurement on the figure.
- Choose the formulaMatch the formula to distance, midpoint, area, volume, or angle relationships.
- Check unitsUse linear, square, or cubic units as appropriate.
Worked examples
Rectangle area
- Area of a rectangle is length times width.
- Substitute 8 and 3.
- Use square units.
Midpoint
- Average the x-values.
- Average the y-values.
- Write the ordered pair.
Try one before moving on
Parts of a Circle: pop-up practice
Watch this practice video for additional examples and reinforcement:
Related Topics
- How to Find Arc Length and Sector Area
- How to Find Equation of a Circle
- How to Find the Center and the Radius of Circles
The Absolute Best Books to Ace Pre-Algebra to Algebra II
A step-by-step guide to solving Circles
- In a circle, variable \(r\) is usually used for the radius and \(d\) for the diameter, and \(π\) is about \(3.14\).
- Area of a circle \(\color{blue}{=πr^2}\)
- Circumference of a circle \(\color{blue}{=2πr}\)
Circles – Example 1:
Find the area of the circle. 
For education statistics and research
Use area formula: Area \(=πr^2\),
\(r=6\) \(\text{ in }\), then: Area \(=π(6)^2=36π\) For additional educational resources,.
\(π=3.14\), then: Area \(=36×3.14=113.04\) \(\text{ in }^2\) For additional educational resources,.
Circles – Example 2:
Find the Circumference of the circle. 
For additional educational resources,.
Solution: For additional educational resources,.
Use Circumference formula: Circumference \(=2πr \)
\(r=9 \) \(\text{ cm }\), then: Circumference \(=2π(9)=18π \)
\(π=3.14\), then: Circumference \(=18×3.14=56.52\) \(\text{ cm }\) For additional educational resources,.
Circles – Example 3:
Find the area of the circle. 
For additional educational resources,.
Solution: For additional educational resources,.
Use area formula: Area \(=πr^2\),
\(r=4\) \(\text{ in }\), then: Area \(=π(4)^2=16π\) For additional educational resources,.
\(π=3.14\), then: Area \(=16×3.14=50.24\) \(\text{ in }^2\) For additional educational resources,.
Circles – Example 4:
Find the Circumference of the circle. 
For additional educational resources,.
Solution: For additional educational resources,.
Use Circumference formula: Circumference \(=2πr \)
\(r=6 \) \(\text{ cm }\), then: Circumference \(=2π(6)=12π \)
\(π=3.14\), then: Circumference \(=12×3.14=37.68\) \(\text{ cm }\) For additional educational resources,.
The Best Book to Help You Ace Pre-Algebra For additional educational resources,.
Exercises for Solving Circles
Find the area and circumference of each circle. \((\pi=3.14)\)
Download Circles Worksheet
- \(\color{blue}{\text{ Area }: \ 50.24 \ \text{ in }^2, \ \text{ Circumference }: \ 25.12 \ \text{ in }}\)
- \(\color{blue}{\text{ Area }: \ 1,017.36 \ \text{ cm }^2, \ \text{ Circumference }: \ 113.04 \ \text{ cm }}\)
- \(\color{blue}{\text{ Area }: \ 78.5 \ m^2, \ \text{ Circumference }: \ 31.4 \ m}\)
- \(\color{blue}{\text{ Area }: \ 379.94 \ \text{ cm }^2, \ \text{ Circumference }: \ 69.08 \ \text{ cm }}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- The Best Grade 4 ELA Practice Tests for Alaska Students
- Electrochemical Cells: Electron Flow, Salt Bridges, and Cell Voltage
- Substantive due process
- Connecticut Algebra 1 Free Worksheets: Free Standards-Aligned Algebra 1 PDF Practice Sets
- Begin with the choice
- Missouri Algebra 1 Free Worksheets: Printable Practice for Every Algebra 1 Topic
- Exponent Rules Calculator (Product, Quotient, Power)
- 49 Free Illinois IAR Grade 3 Math Worksheets — Print, Practice, and Check the Answer Key
- Algebra 2 to Pre-Calculus Bridge Guide: Summer Prep for 2026
- Environmental Corrective Actions and Area Cleaning
What people say about "How to Find the Area and Circumference of Circles? (+FREE Worksheet!) - Effortless Math"?
No one replied yet.