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World Builders™
World Builders™
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Session One -- Astronomy
Session One -- Astronomy
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Circle
Talk
Circle Talk
Circle Equations and Planet
Designing Tips
Circle Equations and Planet Designing Tips
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Use these equations to help you to calculate the area
and volume of your planet.
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Some basic
information:
 =3.14
r = the radius
The radius is the distance from
the center of a circle to the line that encloses the circle.
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Here are some circle formulas that might be useful to you
The
Circumference of a Circle
(the distance around the outside) |
2 p
r
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The
Area of a Circle
(the flat surface on the inside) |
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The
Surface of a Sphere
(the outside of a ball) |
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The
Volume of a Sphere
(the space inside a ball) |
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How will we use these formulas?
Note how the numbers change in the examples below.
A change in the radius has quite an effect on the other measurements.
The radii are red
in the formulas.
*
means multiplication in the computer.
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 Radius = 2
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Use
this for the
earth with a
radius of one
earth radius
Radius = 1
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Radius = .5
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Circumference of the Circle |
2
r
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2 * 3.14 * 2
=
12.56
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2 * 3.14 * 1
= 6.28
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2 * 3.14 *
.5
=
3.14
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Area of a Circle |
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3.14 * (2 * 2)
=
12.56
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3.14 * (1 * 1)
=
3.14
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3.14 * (.5 * .5)
=
0.785
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Surface of a Sphere |
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4 * 3.14 * (2 * 2)
=
50.48
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4 * 3.14 *
(1 * 1 )
=
12.56
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4 * 3.14 *
(.5 * .5
)
=
3.14
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Volume of a Sphere
(the inside) |
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4 * 3.14 * (2 * 2 * 2)
3
=
33.49
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4 * 3.14 * (1 * 1
*1)
3
= 4.18
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4 * 3.14 *
(.5*
.5 .5)
3
=
0.52
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NOTE:
Using these numbers
the volume of the
earth = 4.18
When you work out the numbers for your own planet,
you can use these formulas.
If you let the radius of the earth = 1 you can compare
the sizes of the planets with each other without getting entangled
in enormous numbers.
Using the radius of the earth = 1, a larger planet
might have a radius of, perhaps, 1.3.
A smaller planet might have a radius of, perhaps,
0.75.
Check the page on Statistics on Planets
and Moons to get some ideas of possible sizes.
© 1998, 2003. Elizabeth Anne
Viau. All rights reserved. This material may be used by
individuals for instructional purposes but not sold. Please inform
the author if you use it at
eviau@earthlink.net.
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