General Formulas


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

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

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

Midpoint Formula in Space: 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: where d is the diameter of the circle OR where r is the radius of the circle.

Area Formulas

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

Equilateral Triangle Area Formulas: 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: where a, b, and c are sides and S is

Trapezoid Area Formula: where h is the altitude and b1 and b2 are the bases.

Parallelogram Area Formula: bh where b is the length of one of the bases and h is the length of the altitude.

Circle Area Formula: where r is the radius

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: 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: where B is the area of the base and h is the height.

Sphere Volume Formula: where r is the radius.


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