Honors Geometry Formulas

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34 Terms

1
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Cylinder Volume

πr^2h

<p>πr^2h</p>
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Cube Volume

s^3

<p>s^3</p>
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Cone Volume

1/3πr²h or πr^2h/3

<p>1/3πr²h or πr^2h/3</p>
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Pyramid Volume

1/3Bh or Bh/3

<p>1/3Bh or Bh/3</p>
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Prism Volume

B(Area of the base) x h(height)

<p>B(Area of the base) x h(height)</p>
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Sphere Volume

4/3πr³

<p>4/3πr³</p>
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Prism S.A.

Sum area of polygon faces

<p>Sum area of polygon faces</p>
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Pyramid S.A.

Sum of polygon areas. The height of the triangle is l(slant).

<p>Sum of polygon areas. The height of the triangle is l(slant).</p>
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Cone S.A.

πrl+πr² (l=slant height)

<p>πrl+πr² (l=slant height)</p>
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Cylinder S.A.

2πrh+2πr²(2 circles + curved rectangle)

<p>2πrh+2πr²(2 circles + curved rectangle)</p>
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Sphere S.A.

4πr²

<p>4πr²</p>
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Inscribed Angle Formula

arc/2 or 1/2 x arc

<p>arc/2 or 1/2 x arc</p>
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Central Angle =

Arc

<p>Arc</p>
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Area of Sector

Area of a Sector = m/360 x πr²

<p>Area of a Sector = m/360 x πr²</p>
15
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Area of Circle

πr²

<p>πr²</p>
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Circumference of a circle

2πr or πd

<p>2πr or πd</p>
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Area of Square

s²

<p>s²</p>
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Area of A Triangle

1/2bh

<p>1/2bh</p>
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Area of Parallelogram or Rectangle

bh

<p>bh</p>
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Area of trapizoid

1/2(b1+b2)h

<p>1/2(b1+b2)h</p>
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Area of Rhombus

A=1/2d1d2

<p>A=1/2d1d2</p>
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Area of Regular Polygons

A=1/2Pa

<p>A=1/2Pa</p>
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Interior Angles

1/2sum of arcs

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Exterior Angle

1/2 difference of the arcs

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Sum of Interior Angles of a Polygon

180(n-2). n being the number of sides

<p>180(n-2). n being the number of sides</p>
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One Interior Angle of regular Polygon

180(n-2)/n

<p>180(n-2)/n</p>
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Tangent Line and Radius angle measure

90 degrees

<p>90 degrees</p>
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Sum of exterior angles of a polygon

360 degrees

<p>360 degrees</p>
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One exterior angle of a regular polygon

360/n (n= number of sides)

<p>360/n (n= number of sides)</p>
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Slope Formula

(y₂- y₁) / (x₂- x₁)

<p>(y₂- y₁) / (x₂- x₁)</p>
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Midpoint formula

((x₁+x₂)/2, (y₁+y₂)/2)

average coordinates

<p>((x₁+x₂)/2, (y₁+y₂)/2)</p><p>average coordinates</p>
32
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Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

<p>d = √[( x₂ - x₁)² + (y₂ - y₁)²]</p>
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Exterior Angle of a triangle

sum of 2 remote interior angles

<p>sum of 2 remote interior angles</p>
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Equation of a circle

(x-h)²+(y-k)²=r²

<p>(x-h)²+(y-k)²=r²</p>