Geometry Formulas
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Perimeter, Area, and Volume

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Perimeter – The length around the outside of a geometric figure.

Area – A measure of the amount of space enclosed by a two-dimensional geometric figure. The area equals the number of square units contained inside the figure.

Volume – A measure of the amount of space enclosed by a three-dimensional geometric figure. The volume equals the number of cubic units contained inside the figure.

Here are some basic geometric formulas for finding perimeter, area, and volume:

Triangles: The perimeter of a triangle is the sum of its three sides. The area of a triangle is:

See the Geometry page for a discussion on the base and height of a triangle. The height you use depends on which side of the triangle is chosen to be the base. Note that for a right triangle the two short sides form the base and height of the triangle.

Rectangles and Parallelograms: The perimeter is the sum of the four sides of the figure. The area is:

Circle: The perimeter of a circle is often called the circumference of the circle. The circumference and area are found using the formulas:

r is the radius of the circle and p is approximately 3.14.

Rectangular Solids and Cylinders: To find the volume of these common solids use these formulas.

          
       

In either case the volume of the figure is equal to the area of the bottom face of the figure times the height of the figure.

 

 

 

Designed by John Neely, Math Center Coordinator, University of Northern Iowa, Spring 2004
Last revised 1/31/06
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