Area & Circumference Worksheets

There are six sets of circle worksheets:

• Circumference Worksheets
  
• Area of Circle Worksheets
  
• Area & Circumference Worksheets
  
• Find Radius from Circumference
  
• Find Radius from Area
  
• Find Area from Circumference or vice versa
  

Examples, solutions, videos, and worksheets to help grade 7 and grade 8 students learn how to find the area & circumference of a circle given its radius or diameter.

How to find the area & circumference of a circle?

There are two sets of area & circumference of circle worksheets

• Area & circumference of circles (inches, ft, yard)
• Area & circumference of circles (mm, cm)

Find the circumference given the radius
If you are given the radius of a circle, you can use the following formula to find the circumference of a circle:
C = 2πr
Where:

• C is the circumference of the circle.
• π (pi) is a mathematical constant approximately equal to 3.14159…
• r is the radius of the circle.

Example:
Find the circumference of a circle with a radius of 6 units. Use 3.14 for π.
C = 2πr = 2(3.14)(6) = 37.68 units

Find the circumference given the diameter
If you know the diameter (which is twice the radius), you can also use the formula:
C = πd
Where:

• C is the circumference of the circle.
• π (pi) is the mathematical constant approximately equal to 3.14159…
• d is the diameter of the circle.

Example:
Find the circumference of a circle with a diameter of 8 units. Use 3.14 for π.
C = πd = (3.14)(8) = 37.68 = 25.12 units.

Find the area given the radius
If you are given the radius of a circle, you can use the following formula to find the area of a circle:
A = πr²
Where:

• A is the area of the circle.
• π (pi) is a mathematical constant approximately equal to 3.14159…
• r is the radius of the circle.

Example:
Find the area of a circle with a radius of 6 units. Use 3.14 for π.
A = πr² = (3.14)(6)² = 113.04 units²

Find the area given the diameter
If you are given the diameter (which is twice the radius) then you would need to divide the diameter by 2 to get the radius and the use the formula A = πr²
Example:
Find the area of a circle with a diameter of 8 units. Use 3.14 for π.
Divide the diameter by 2 to get the radius. Radius = 8 ÷ 2 = 4
A = πr² = (3.14)(4)² = 50.24 units²

Have a look at this video if you need to review how to the area & circumference of a circle.

• Circles - Area, Circumference, Radius & Diameter

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Area & circumference of circle Worksheets.

 

More Area & circumference of circle Worksheets

Printable
(Answers on the second page.)
Area & circumference of circle Worksheet #1 (inches, feet, yard)
Area & circumference of circle Worksheet #2 (mm, cm)

Online
Circumference of Circle
Area of Circle
Area & Circumference of Circle

Circle Problems: Circumference, Area
Circle Word Problems 1
Circle Word Problems 2

Area of shaded regions that include circles
Area of figures that include circles
Area of figures that include circles

Arc Length & Area of Sector (Degrees)
Arc Length & Area of Sector (Radians)
Convert between Radians and Degrees

Related Lessons & Worksheets

Circumference of a Circle

More Printable Worksheets

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