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# Math Formulas

Term | Definition |
---|---|

Slope-Intercept Form | y=mx+b m=slope b=y-intercept |

Area of a Triangle | 1/2 bh |

Area of a Square or Rectangle | l*w |

Area of a Parallelogram | b*h |

Area of a Trapezoid | 1/2 (a+b)h a=base b=top h=height |

Interior Angle Sum of a Triangle | 180 |

Interior Angle Sum of Quadrilaterals | 360 |

Interior Angle Sum of Polygons | (n-2)180 n=number of sides |

Number of Diagonals | n(n-3) 2 |

Circumference of a Circle | 2 r distance around a circle |

Diameter | straight line drawn through the center of the circle which connects two opposite points on the circle's circumference |

Radium | half the diameter line from center to the circumference |

Tangency | Circles touch at exactly one point |

Chord | A line drawn through a circle that connects two points on the circle's circumference, but doesn't go through the center. |

Area of a Circle | |

2 Right Triangle special angle ratios | 45-45-90 (isosceles right triangle) 30-60-90 |

2 Right Triangle sides ratios | 3-4-5 5-12-13 |

Isosceles Right Triangle sides ratios | x, x, x 2 |

30-60-90 sides ratios | x, x 3, 2x |

Volume of Rectangular Solids | lwh |

Surface Area of Rectangular Solids | 2lw+2lh+2wh |

Diagonal Length of Rectangular Solids | (l +w + h ) |

Volume of Cubes | s s=side or lwh |

Surface Area of Cubes | 6s s=side or 2lw+2lh+2wh |

Diagonal Length of Cubes | s 3 |

Volume of Cylinders | r h r=radius of circle h=height |

Surface Area of Cylinders | 2 r + 2 rh r=radius of circle h=height |

Volume of Cones | r=radius of circle h=height |

Surface Area of Cones | r=radius of circle l=length of side |

Volume of Pyramids | 1/3 bh b=area of the base h=height |

Volume of Spheres | |

Center-Radius Form (Circle) | (x-h) + (y-k) =r (h,k)=center point r=radius |

SOHCAHTOA | Sine: Opp/Hyp Cosine: Ajd/Hyp Tangent: Opp/Adj |

Tangent in relation to Sine and Cosine | Tangent=Sine/Cosine |

Difference of Square | a -b = (a+b)(a-b) |

Possible Combinations of Events | # Element A * # Element B * # Element C . . . |

Probability | # of desired outcomes #of total possible outcomes |

Probability of 2, mutually exclusive, outcomes both happening | probability of A * probability of B |

Circumference of a Circle Arc | |

Area of a Circle Arc | |

Arithmetic Sequence Explicit Formula | a =nth term a =1st term d=common difference |

Arithmetic Sequence Recursive Formula | a =nth term a =1st term n=number of terms d=common difference |

Find the Intersect of two lines | Put both lines in slope-intercept form. Put them equal to each other to solve for x. Then solve for y. |

Perpendicular Lines Slopes | are negative reciprocals |

Parallel Line Slopes | are equal |