Area from 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 from the circumference of a circle and how to find the circumference from the area of a circle.

How to find the area from the circumference of a circle & vice versa?

There are two sets of area and circumference worksheets

• Area and circumference (inches, ft, yard)
• Area and circumference (mm, cm)

Find the area given the circumference

To find the area of a circle given its circumference, use the following steps:

1. Use the formula for the circumference, C = 2πr
   Find the radius (r):
   r = C/(2π)
2. Once you have the radius, you can then find the area using the formula:
   A = πr²

Example:
Find the area of a circle with a circumference of 43.96 units. Use 3.14 for π.
r = 43.96/2π = 7 units
A = π(7)² = 153.86 units²

Find the circumference given the area

To find the circumference of a circle given its area, use the following steps:

1. Use the formula for the area, A = πr²
   Find the radius (r):
   r = √(A/π)
2. Once you have the radius, you can then find the circumference using the formula:
   C = 2πr

Example:
Find the circumference of a circle with an area of 113.04 units². Use 3.14 for π.
r = √(113.04/π) = 6 units
C = 2π(6) = 37.68 units

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

• How to Calculate the Area from the Circumference of Circle

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

• Find circumference given area

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 Worksheets

Printable
(Answers on the second page.)
Radius from area of circle Worksheet #1 (inches, feet, yard)
Radius from area 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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