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Triangles

Triangles

Area = ½ base x height

Parallelograms

Area = base x height

Trapezoids

Area = ½ (sum of bases) x height

Rhombus/Kites

Area = 1/2 x (diagonal 1 x diagonal 2)

Circles

Area = π x radius²

Polygons

Area = ½ x apothem x perimeter

Prisms

Lateral Surface Area = perimeter x height, Total Surface Area = perimeter x height + 2 x base area

Cylinders

Lateral Surface Area = 2π x radius x height, Total Surface Area = 2π x radius x height + 2π x radius²

Pyramids

Lateral Surface Area = ½ x perimeter x slant height, Total Surface Area = ½ x perimeter x slant height + base area

Cones

Lateral Surface Area = π x radius x slant height, Total Surface Area = π x radius x slant height + π x radius²

Spheres

Total Surface Area = 4π x radius², Volume = 1/2 x 3π x radius²

Volume Formulas

Cylinder:V = π x radius² x height, Prism:V = base area x height, Pyramid:V = 1/3 x base area x height, Cone:V = 1/3 x π x radius² x height, Sphere:V = 4/3 x π x radius³

Arc Length Formula

arc/360 = angle in radians/π x diameter

Sector Area Formula

arc/360 = angle in radians/π x radius²

Segment Area Formula

Sector area - Triangle area

Properties of Radii and Chords

Equal chords have equal arcs

Properties of Tangents

Tangents from a point are equal in length