Formulas of Geometry

You will use a number of geometric formulas as you work through your algebra book. Here are some perimeter, area, and volume formulas.

A rectangle has a length of l and a width of w. P equals 2 l plus 2 w. A equals l times w.

Rectangle

A square has lengths of s. P equals 4 s. A equals s squared.

Square

A circle has a diameter, d, and a radius r. C equals 2 pi times r or C equals pi times d. A equals pi times r squared.

Circle

A triangle has a base length of b and a height of h. A equals (1 over 2) times b times h.

Triangle

A parallelogram has a base length of b and a height of h. A equals b times h.

Parallelogram

A trapezoid has a bottom with length b subscript 2 baseline, and a top with length b subscript 1 baseline, and a height of h. A equals (1 over 2) times (b subscript 1 baseline plus b subscript 2 baseline) times h.

Trapezoid

A right prism is rectangular in shape. It has a base measurement of l times w, with a height of h. S A equals 2 times (l time w plus w times h plus h times l). V equals B times h. V equals l times w times h.

Right Prism

A pyramid has a base measuring b, and a height measuring h. V equals (1 over 3) times B times h.

Pyramid

A right cylinder has a base radius of r, and a height of h. S A equals 2 pi times (r plus h). V equals B times h. V equals pi r squared times h.

Right Cylinder

A right cone has a base radius of r, and a height of h. V equals (1 over 3) times B times h. V equals (1 over 3) times pi r squared times h.

Right Cone

A sphere has a radius of r. S A equals 4 pi r squared. V equals (1 over 3) times pi r cubed.

Sphere


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Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments