Measurement Formulas

Here are some measurement formulas from the different parts of geometry. You'll find some two-dimensional and some three-dimensional formulas. E-mail (link disabled) me if you can think of any others.

General Formulas

Distance Formula: ((x2 - x1)2 + (y2 - y1)2) where (x1, y1) and (x2, y2) are points.

Distance Formula in Space: ((x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2) where (x1, y1, z1) and (x2, y2, z2) are points.

Midpoint Formula:((A + C)/2), (B + D)/2)) where (A, B) and (C, D) are the endpoints of the segment.

Midpoint Formula in Space:(((A + D)/2), ((B + E)/2), ((C + F)/2)) where (A, B, C) and (D, E, F) are the endpoints of the segment.

Perimeter Formulas

Equilateral Polygon Perimeter Formula: n * s, where n is the number of sides and s is the length of those sides.

Circle Circumference Formula: d where d is the diameter of the circle.

Area Formulas

Triangle Area Formulas: 1/2 * ab * sin(c) where a and b are sides and c is the enclosed angle; 1/2 * hb where h is the height and b is the length of the base.

Equilateral Triangle Area Formulas: (s2 * 3) / 4 where s is the length of one side.

Right Triangle Area Formula: Half of the product of the length of the legs.

SSS Triangle Area Formula: the square root of (S(S - a)(S - b)(S - c)) where a, b, and c are sides and S is (a + b + c)/2

Trapezoid Area Formula: 1/2 * h(l1 + l2) where h is the altitude and l1 + l2 are the bases.

Parallelogram Area Formula: lh where l is the l is the length of one of the bases and h is the length of the altitude.

Circle Area Formula: r2 where r is the radius

Pick's Formula: 1/2 * P + I - 1 where P is the number of points on the polygon and I is the number of points in the polygon if the polygon is in a coordinate plane.

Right Prism - Cylinder Lateral Area Formula: ph where the p is the perimeter (circumference) and h is the height

Prism - Cylinder Surface Area Formula: L.A. + 2B where L.A. is the lateral area and B is the area of the base.

Regular Pyramid - Right Cone Lateral Area Formula: 1/2 * lp where l is the length of the slant height and p is the perimeter of the base.

Pyramid - Cone Surface Area Formula: the lateral area plus the area of the base.

Sphere Surface Area Formula: 4r2 where r is the radius.

Volume Formulas

Cube Volume Formula: s3 where s is the length of an edge.

Prism - Cylinder Volume Formula: Bh where B is the area of the base and h is the height.

Pyramid - Cone Volume Formula: 1/3 * Bh where B is the area of the base and h is the height.

Sphere Volume Formula: 4/3 * r3 where r is the radius.

- Jaime III
A clean desk is a sign of a cluttered desk drawer.