How to Find the Area and Circumference of Circles? (+FREE Worksheet!)

Grade 8 Math for Students The Ultimate Step by Step Guide to Preparing for the Grade 8 Math Test

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.34 out of 5 based on 61 customer ratings

Satisfied 52 Students

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 \(\color{blue}{=2πr}\)
  

Area and Circumference of Circles

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,.

Geometry for Beginners The Ultimate Step by Step Guide to Acing Geometry

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.

\(π=3.14\), 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

Area and Circumference of Circles

Find the area and circumference of each circle. \((\pi=3.14)\)

Download Circles Worksheet

1. \(\color{blue}{\text{ Area }: \ 50.24 \ \text{ in }^2, \ \text{ Circumference }: \ 25.12 \ \text{ in }}\)
2. \(\color{blue}{\text{ Area }: \ 1,017.36 \ \text{ cm }^2, \ \text{ Circumference }: \ 113.04 \ \text{ cm }}\)
3. \(\color{blue}{\text{ Area }: \ 78.5 \ m^2, \ \text{ Circumference }: \ 31.4 \ m}\)
4. \(\color{blue}{\text{ Area }: \ 379.94 \ \text{ cm }^2, \ \text{ Circumference }: \ 69.08 \ \text{ cm }}\)

The Greatest Books for Students to Ace the Algebra