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Geometry Formulas - GMATClub.com

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Geometry Formulas - GMATClub.com

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  1. Geometry Formulas Triangle Formula ??? ??? ?? h=?√2 Pythagorean Theorem 45º-45º-90º Phenomenon ?:?:?√2 ? ? ?√3 ?:?√3:2? 30º-60º-90º Phenomenon Perimeter s1+s2+s3 1 2???? Area of any Triangle 1 2?????? Area of Isosceles Triangle 1 2???? ??? Area of Right Triangle ??√3 4 Area of Equilateral Triangle Square Formula Perimeter 4S S2 12 Area #1 ? ????????? Area #2 D = S2 ? √2 Relationship between Side & Diagonal ? ? Rectangle Formula 2?? ? ?? ? ? ? Perimeter Area #1 ???????? ??????? ????????? Relationship between Side & Diagonal Parallelogram Formula 2?? ? ?? ? ? ? Perimeter Area Rhombus Formula 4? ? ? ? 1 2???? ??? Perimeter Area #1 Area #2

  2. Trapezoid Formula ??? ??? ??? ?? 1 2??????? ?????? ? ?????? Perimeter Area Circumference Formula ?? Circumference #1 2?? Circumference #2 ? ? ? 2? Diameter Radius Arc of Circle Formula ??????? ?? ??????? ????? 360º 2 ? ??????? ?? ????????? ????? 360º ? ? Arc Length (Central) ? ? Arc Length (Inscribed) D A D C P Q B C B A 2 1 Arc of Circle Formula ?? ?? 2 ? ? ? ?? ? ??? Arc Measure (Intersecting Chords) [1] ?? ?? 2 ? ? ? ??? Arc Measure (Intersecting Secants/Tangents) [2] Perimeter of Sector of Circle Arc Measure + 2r

  3. Circle Formula ??? Area of Circle #1 ??? Area of Circle #2 4 Sector of Circle Formula ??????? ?? ??????? ????? 360º ? ???? ?????? Area of Sector Rectangular Solids Formula 2??????? ? ??????? Area of Front & Back Faces 2??????? ? ?????? Area of Top & Bottom Faces 2?????? ? ??????? Area of Front & Back Faces 2??? ? ?? ? ??? Total Surface ? ? ???? ??? ?? Diagonal Cube Formula 6?? Area of Cube ?? Volume ? ? ?√3 ? √3 Diagonal ? ? Cylinder Formula ???? ???? 2??? Area of Top & Bottom Circular Bases 2??? Lateral Surface Area 2???? 2??? Total Surface Area ???? Volume

  4. Cone Formula ??? ? ??? Surface Area 1/3 (area of Cylinder) 1 3???? Volume of Cone Sphere Formula 4??? Surface Area 4 3??? Volume Coordinate geometry Formula ????? ????? ???? ???? Distance ???? ?? 2 ,??? ?? 2 ? Mid-point ? ? ?? ? ? General Form ??? ?? ??? ?? Slope

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