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- Publishing Information
- Contributors to the First and Second Editions
- Preface to Sixth Edition
- Symbols and abbreviations
- Areas and volumes
- Centres of mass
- Moments of inertia
- SI prefixes, units, and constants
- Geometry: equations of lines and planes
- Basic algebra
- Derivatives
- Integrals
- Common ordinary differential equations and solutions
- Laplace Transforms
- Series
- Convergence tests for series
- Common inequalities
- Trigonometric formulae
- Probability distributions
- Vector algebra and operators
- Groups of order 15 or less
- Prime numbers less than 1000
- Greek letters
- Roman numerals
- Fields Medal winners
- Millennium Prize problems
- Historical timeline

# Areas and volumes

- Source:
- The Concise Oxford Dictionary of Mathematics

Areas and volumes

(For unexplained notation, see under the relevant reference.)

**Rectangle**, length *a*, width *b*:

Area = *ab*.

Area = *bh* = *ab* sin *θ*.

Area = $\frac{1}{2}$base×height = $\frac{1}{2}$*bc* sin *A*.

Area = $\frac{1}{2}$*h*(*a* + *b*).

**Circle**, radius *r*:

Area = π*r*^{2}.

Length of circumference = 2π*r*.

**Right-circular** **cylinder**, radius *r*, height *h*:

Volume = π*r*^{2}*h*,

Curved surface area = 2π*rh*.

Volume = $\frac{1}{3}$π*r*^{2} *h*,

Curved surface area = π*rl*.

Volume = $\frac{1}{3}$π*h*(*a*^{2} + *ab* + *b*^{2}),

Curved surface area = π(*a* + *b*)*l*.

**Sphere**, radius *r*:

Volume = $\frac{4}{3}$ π*r*^{3},

Surface area = 4π*r*^{2}.

**Surface area of a** **cylinder**:

Curved surface area = 2π*rh*.

- Publishing Information
- Contributors to the First and Second Editions
- Preface to Sixth Edition
- Symbols and abbreviations
- Areas and volumes
- Centres of mass
- Moments of inertia
- SI prefixes, units, and constants
- Geometry: equations of lines and planes
- Basic algebra
- Derivatives
- Integrals
- Common ordinary differential equations and solutions
- Laplace Transforms
- Series
- Convergence tests for series
- Common inequalities
- Trigonometric formulae
- Probability distributions
- Vector algebra and operators
- Groups of order 15 or less
- Prime numbers less than 1000
- Greek letters
- Roman numerals
- Fields Medal winners
- Millennium Prize problems
- Historical timeline