AP Calc - Necessary Formulas

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30 Terms

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Circle Circumference

C = 2Ď€r

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Circle Area

A = πr2

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Arc Length

L = rθ (where θ is the angle in radians)

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Area of a Sector

A = ½r2 θ

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Square Perimeter

P = 4s

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Square Area

A = s2

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Triangle Perimeter

P = a+b+c

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Triangle Area

A = ½bh

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Rectangle Perimeter

P = 2(l+w)

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Rectangle Area

A = lw

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Sphere Surface Area

SA = 4Ď€r2

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Sphere Volume

V = 4/3Ď€r3

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Cube Surface Area

SA = 6s2

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Cube Volume

V = sÂł

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Rectangular Prism Surface Area

SA = 2(lw+lh+wh)

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Rectangular Prism Volume

V = lwh

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Triangular Prism Surface Area

SA = bh+Pbh

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Triangular Prism Volume

V = ½bhl

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Square Pyramid Surface Area

SA = s2 +2sl

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Square Pyramid Volume

V = 1/3s2 h

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Cylinder Surface Area

SA = 2Ď€r(h+r)

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Cylinder Volume

V = πr2 h

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Cone Surface Area

SA = πr(r+l)

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Cone Volume

V = 1/3Ď€r2 h

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Sin(θ)

opposite/hypotenuse

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cos(θ)

adjacent/hypotenuse

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tan(θ)

opposite/adjacent

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Pythagorean Theorem

a2 +b2 = c2

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Law of Sines

a/sin(A) = b/sin(B) = c/sin(C)

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Law of Cosines

c2 = a2 +b2 -2abcos(C)