Area of a Circle
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More Lessons for Grade 6
Math Worksheets
Examples, videos, worksheets, stories, and solutions to help Grade 6 students learn about the Circle: Area, Circumference, Radius, Diameter.
Area of a Circle
The area of a circle is the amount of two-dimensional space enclosed within its boundary (circumference).
Check out the following lesson if you need to review how to find the circumference of a circle.
The formula for the area (A) of a circle is:
A=πr2
Where:
A = Area of the circle
π (pi) is a mathematical constant, approximately 3.14159. It’s the ratio of a circle’s circumference to its diameter. For most calculations, you can use the π button on your calculator for greater precision, or approximate it as 3.14 or 22/7.
r = radius of the circle. The radius is the distance from the center of the circle to any point on its edge.
The following figure give the formula for the area of circle. Scroll down the page for more examples and solutions.
Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets
How to Calculate the Area
- Find the radius (r):
a) If you’re given the radius directly, use that value.
b) If you’re given the diameter (d), remember that the radius is half of the diameter: r = d/2.
c) If you’re given the circumference (C), you can find the radius using the formula C=2πr, which means r = C/(2π). - Square the radius: Multiply the radius by itself.
- Multiply by π: Multiply the squared radius by the value of π.
How to Remember the Formula
You can combine the circumference and area mnemonic:
“Cherry pies delicious! Apple pies are too!"
Cherry Pies Delicious, C=πd (Circumference)
Apple Pies Are Two, A=πr2 (Area)
Videos
How to use a formula to find the area of any circle?
How to Find the Area of a Circle, Given a Radius or a Diameter
To calculate the area of a circle, multiply the number pi, which is approximately 3.14, by the squared radius.
Lesson about the Area of a Circle
Find the area of the circle given the diameter
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