Geometry FormulasFormulas for geometry, related to area and perimeter of triangles, rectangles, cercles, sectors, and volume of sphere, cone, cylinder are presented. Here are Geometry Formulas for perimeter, circumference, area, surface area, and volume. Scroll down the page for more examples and solutions using the geometry formulas. Right Triangle and Pythagora’s theorem a^{ 2} + b^{ 2} = c^{ 2} Area and Perimeter of TriangleThere 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 = sqrt [ s(s – a)(s – b)(s – c) ] , where s = (a + b + c)/2. Area and Perimeter of RectanglePerimeter = 2L + 2W Area = L * W Area of ParallelogramArea of TrapezoidCircumference of a Circle and Area of a Circular RegionCircumference = 2*Pi*r Area = Pi*r^{ 2} Arclength and Area of a Circular SectorArclength: s = r*t Area = (1/2) *r^{ 2} * t where t is the central angle in RADIANS. Volume and Surface Area of a Rectangular SolidVolume = L*W*H Surface Area = 2(L*W + H*W + H*L) Volume and Surface Area of a SphereVolume = (4/3)* Pi * r^{ 3} Surface Area = 4 * Pi * r^{ 2} Volume and Surface Area of a Right Circular CylinderVolume = Pi * r^{ 2} * h Surface Area = 2 * Pi * r * h Volume and Surface Area of a Right Circular ConeSurface Area = Pi * r * sqrt (r^{ 2} + h^{ 2}) Questions and Answers For Geometry Formulas1. A rectangle has a perimeter of 320 meters and its length L is 3 times its width W. Find the dimensions W and L, and the area of the rectangle.Solution and answer:
2. The perimeter of a rectangle is 50 feet and its area is 150 feet^{ 2}. Find the length L and the width W of the rectangle, such that L > W.Solution and answer:
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