Geometry Flashcards

1
Q

Area of Trapezoid

A

((b1+b2)(h))/2

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2
Q

Area of Regular Hexagon

A

(3√(3)s²)/2

s=side length

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3
Q

Area of Regular Polygon

A

(ns²)/(4tan(180/n))

n=number of sides, s=side length

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4
Q

Volume of Cone

A

(πr²h)/3

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5
Q

Surface Area of Cone

A

πr²+πrl

l=slant height

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6
Q

Volume of Sphere

A

(4/3)πr³

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7
Q

Surface Area of Sphere

A

4πr²

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8
Q

Volume of Pyramid (base of any polygon, assume square if not specified, tetrahedron is triangle)

A

(bh)/3

b=AREA of base, h=height

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9
Q

Surface Area of Pyramid

A

2sl+b

s=length of a side of the base, l=slant height, b=area of the base

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10
Q

Volume of Cylinder

A

πr²h

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11
Q

Surface Area of Cylinder

A

2πr²+2πrh

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12
Q

Distance Formula

A

√((x2 −x1)² +(y2 −y1)²)

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13
Q

Heron’s Formula (Area of Any Triangle)

A

√(s(s-a)(s-b)(s-c))

s=(a+b+c)/2 (semiperimeter)

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14
Q

Law of Sines

A

a/sinA=b/sinB=c/sinC

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15
Q

Law of Cosines

A

c²=a²+b²-2abcosC

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16
Q

Sum of an n-gon’s Angles

A

180(n-2)

17
Q

Convex vs Concave Quadrilaterals

A

Convex: all interior angles are each <180
Concave: one interior angle >180 (arrowhead)

18
Q

Circumcenter of Triangle

A

point where the perpendicular bisectors of the sides of the triangle intersect