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ALGEBRA
Basic Identities
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Areas
Volumes
Surface Area
Properties of Triangles
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AREAS IN GEOMETRY

Area of a Square

A = x²

where: A is the area and x is the side of the square

Area of a Rectangle

A = xy

where: x and y are the adjacent sides of the rectangle

Area of a Circle

A = pi x r²

where: r is the radius of the circle and pi = 3.14

Area of a Triangle

There are three formulas:

First:

A = 1/2 x b x h

where: b is the base of the triangle and h is the height which the perpendicular distance from the vertex to the base

Second

_{A = 1/2 ab Sin C}

_{where: a and b are two sides and C is the angle opposite to the third side c.}

Third

A = SQRT(s(s-a)(s-b)(s-c)),

Where a, b and c are the three sides of the triangle

and s = (a + b + c)/2 or half the perimeter

Area of Trapezium

[(x+y)/2]h

where: x and y are the two parallel sides and h is the perpendicular distance between the parallel sides

Area of a Parellelogram

b x h

where: b is the base and h is the perpendicular distance of the opposite side from the base