Table of Formulas For Geometry
A table of formulas for geometry, related to area and perimeter of triangles, rectangles, cercles, sectors, and volume of sphere, cone, cylinder are presented.
Right Triangle and Pythagora's theoremPythagora's theorem: The two sides a and b of a right triangle and the hypotenuse c are related bya 2 + b 2 = c 2  Area and Perimeter of Triangle Perimeter = a + b + c There are several formulas for the area. If the base b and the corresponding height h are known, we use the formula Area = (1 / 2) × b × h. If two sides and the angle between them are known, we use one of the formulas, depending on which side and which angle are known Area = (1 / 2) × b × c sin A Area = (1 / 2) × a × c sin B Area = (1 / 2) × a × b sin C . If all three sides are known, we may use Heron's formula for the area. Area = √ [ s(s - a)(s - b)(s - c) ] , where s = (a + b + c)/2. Area and Perimeter of Rectangle Perimeter = 2L + 2W Area = L × W Area of Parallelogram Area = b × h Area of Trapezoid Area = (1 / 2)(a + b) × h Circumference of a Circle and Area of a Circular Region Circumference = 2 × π × r Area = π × r 2 Arclength and Area of a Circular Sector Arclength: s = r × t Area = (1/2) × r 2 × t where t is the central angle in RADIANS. Volume and Surface Area of a Rectangular Solid Volume = L*W*H Surface Area = 2(L × W + H × W + H × L) Volume and Surface Area of a Sphere Volume = (4/3) × π × r 3 Surface Area = 4 × π × r 2 Volume and Surface Area of a Right Circular Cylinder Volume = π × r 2 × h Total Surface Area = 2 × π × r × h + 2 × π × r 2 Volume and Surface Area of a Right Circular Cone Volume = (1/3) × π × r 2 × h Surface Area = π × r × √ (r 2 + h 2) See also area of regular polygons. More References and Links to GeometryGeometry Tutorials, Problems and Interactive Applets.Area, Perimeter and Diagonal of a Rectangle - Geometry Calculator. Length and Width of Rectangle - Geometry Calculator. |
