Geometry Area Formulas

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Regular Polygon (given apothem)

Area = (1/2) x Apothem x Perimeter

triangle (familiar formula)

Area = (1/2) x base x height

kite

Area = (1/2) x diagonal1 x diagonal2

rhombus

Area = (1/2) x diagonal1 x diagonal2

trapezoid

Area = (1/2) x height x (base1 + base2)

triangle (new formula)

Area = (1/2) x side1 x side2 x sin(angle)

Regular Polygon (given radius)

Area = (n/2) x radius^2 x sin(360/n)

parallelogram

Area = base x height

rectangle

Area = base x height

circle

Area = pi x r^2

segment

Area = sector area - triangle area

circumference

C = pi x diameter

arc length or central angle

angle/360 = arc length/circumference

sector area or central angle

angle/360 = sector area/circle area


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