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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