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!Ignotum/Formulae/Area

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Tape/disk: Home » Archimedes archive » Archimedes World » AW-1996-07.adf » !Ignotum_Ignotum
Filename: !Ignotum/Formulae/Area
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File contents
# Maths > Area and volume
area (rectangle)=ab
Where:
a and b are side lengths



area (circle)=PIr�
Where:
PI=3.141592654
r=radius


area (trapesium)=�h(a+b)
Where:
h=height
a and b are side lengths


volume (cuboid)=abc
Where:
a, b and c are side lengths



volume (sphere)=4PIr�/3
Where:
PI=3.141592654
r=radius


volume (prism)=xsa � l
Where:
xsa=cross sectional area
l=length


volume (cylinder)=PIr�l
Where:
PI=3.141592654
r=radius
l=length













































































































00000000  23 20 4d 61 74 68 73 20  3e 20 41 72 65 61 20 61  |# Maths > Area a|
00000010  6e 64 20 76 6f 6c 75 6d  65 0a 61 72 65 61 20 28  |nd volume.area (|
00000020  72 65 63 74 61 6e 67 6c  65 29 3d 61 62 0a 57 68  |rectangle)=ab.Wh|
00000030  65 72 65 3a 0a 61 20 61  6e 64 20 62 20 61 72 65  |ere:.a and b are|
00000040  20 73 69 64 65 20 6c 65  6e 67 74 68 73 0a 0a 0a  | side lengths...|
00000050  0a 61 72 65 61 20 28 63  69 72 63 6c 65 29 3d 50  |.area (circle)=P|
00000060  49 72 b2 0a 57 68 65 72  65 3a 0a 50 49 3d 33 2e  |Ir..Where:.PI=3.|
00000070  31 34 31 35 39 32 36 35  34 0a 72 3d 72 61 64 69  |141592654.r=radi|
00000080  75 73 0a 0a 0a 61 72 65  61 20 28 74 72 61 70 65  |us...area (trape|
00000090  73 69 75 6d 29 3d bd 68  28 61 2b 62 29 0a 57 68  |sium)=.h(a+b).Wh|
000000a0  65 72 65 3a 0a 68 3d 68  65 69 67 68 74 0a 61 20  |ere:.h=height.a |
000000b0  61 6e 64 20 62 20 61 72  65 20 73 69 64 65 20 6c  |and b are side l|
000000c0  65 6e 67 74 68 73 0a 0a  0a 76 6f 6c 75 6d 65 20  |engths...volume |
000000d0  28 63 75 62 6f 69 64 29  3d 61 62 63 0a 57 68 65  |(cuboid)=abc.Whe|
000000e0  72 65 3a 0a 61 2c 20 62  20 61 6e 64 20 63 20 61  |re:.a, b and c a|
000000f0  72 65 20 73 69 64 65 20  6c 65 6e 67 74 68 73 0a  |re side lengths.|
00000100  0a 0a 0a 76 6f 6c 75 6d  65 20 28 73 70 68 65 72  |...volume (spher|
00000110  65 29 3d 34 50 49 72 b3  2f 33 0a 57 68 65 72 65  |e)=4PIr./3.Where|
00000120  3a 0a 50 49 3d 33 2e 31  34 31 35 39 32 36 35 34  |:.PI=3.141592654|
00000130  0a 72 3d 72 61 64 69 75  73 0a 0a 0a 76 6f 6c 75  |.r=radius...volu|
00000140  6d 65 20 28 70 72 69 73  6d 29 3d 78 73 61 20 d7  |me (prism)=xsa .|
00000150  20 6c 0a 57 68 65 72 65  3a 0a 78 73 61 3d 63 72  | l.Where:.xsa=cr|
00000160  6f 73 73 20 73 65 63 74  69 6f 6e 61 6c 20 61 72  |oss sectional ar|
00000170  65 61 0a 6c 3d 6c 65 6e  67 74 68 0a 0a 0a 76 6f  |ea.l=length...vo|
00000180  6c 75 6d 65 20 28 63 79  6c 69 6e 64 65 72 29 3d  |lume (cylinder)=|
00000190  50 49 72 b2 6c 0a 57 68  65 72 65 3a 0a 50 49 3d  |PIr.l.Where:.PI=|
000001a0  33 2e 31 34 31 35 39 32  36 35 34 0a 72 3d 72 61  |3.141592654.r=ra|
000001b0  64 69 75 73 0a 6c 3d 6c  65 6e 67 74 68 0a 0a 0a  |dius.l=length...|
000001c0  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000220  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a                 |...........|
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