equations
4.7(7)
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33 Terms
1
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sum of interior angles
180(n-2)
2
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regular interior angle
180 - (360/n)
3
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reg exterior angle
360/n
4
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sum of ext angles
360
5
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number of diagonals
n(n-3) / 2
6
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atht- hyp geom mean
h^2 = xy
7
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atht- leg geom mean
a^2= yc / b^2= xc
8
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distance theorem
\
9
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30-60-90
x, x√3, 2x
10
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45-45-90
x, x, x√2
11
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rectangle area
bh
12
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square area
s^2
13
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pgram area
bh
14
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triangle area
bh / 2
15
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trapezoid area
(b1-b2 / 2) h
16
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kite area
(d1 \* d2) / 2
17
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equilateral triangle area
(s^2 √3) / 4
18
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polygon area
( apothem \* perimeter ) / 2
19
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sector area
20
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prism lateral area
perimeter \* height
21
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prism surface area
2\*base area + perimeter \* height
22
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prism volume
base area \* height
23
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pyramid lateral area
1/2 (perimeter \* slant height)
24
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pyramid surface area
base + 1/2 (perimeter \* slant height)
25
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pyramid volume
(1/3) \* base area \* height
26
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sphere surface area
4πr^2
27
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sphere volume
(4/3)πr³
28
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cylinder lateral area
2πrh
29
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cylinder surface area
2πrh + 2πr^2
30
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cylinder volume
base area \* height
31
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cone lateral area
πr𝓁
32
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cone surface area
πr𝓁 + πr^2
33
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cone volume
(1/3) \* base area \* height