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Tuesday, October 21, 2014

Sphere Mathematics

The Diameter of a circle or sphere is equal to 2 times the Radius:

Diameter = 2 * Radius


Circle1
Circumference is 2 * Radius
Figure #1., The Diameter of a circle
Figure 2., Diameter is 2 * Radius


The Circumference of a circle or a sphere is equal to 6.2832 times the Radius.

Circumference = 6.2832 * R

C = 2 * Pi * R
Circle
Figure 3.,Circumference is 2 * Pi * Radius

The Radius of a circle or sphere is equal to the Diameter divided by 2.

R = D / 2


The Circumference of a circle or a sphere is equal to 3.1416 times the Diameter.


Circumference = 3.1416 * Diameter
C = Pi * D
Circle 4

Figure #4., The circumference is pi * Diameter

The Area of a circle is equal to the Radius of the circle multiplied by the Radius and then this number multiplied by 3.1416.


Area = R * R * Pi
Area = R * R * 3.1416

 

This number will be in square inches or square millimeters, depending on the measurement system used.


The Area of a circle is equal to the Diameter of the circle multiplied by the Diameter and then this number multiplied by 3.1416 and then this total is divided by 4.

Area = D * D * 3.1416 / 4

Area = D * D * Pi / 4

This number will be in square inches or square millimeters, depending on the measurement system used.


The Area of a Cylinder is equal to 6.2832 ( 2 * Pi ) times the radius of the Cylinder, times the sum of the Radius plus the Height.

Area = 2 * 3.1416 * R * ( R + H )

Area = 2 * Pi * R * ( R + H )

This number will be in square inches or square millimeters, depending on the measurement system used.

Circle7
Figure #7. and #8., The area and Volume of a cylinder

The Volume of Cylinder is equal to the radius of the Cylinder, multiplied by the Radius, and this number multiplied by by 3.1416, then this number is multiplied by the length of the Cylinder.

Volume = 3.1416 * R * R * H

Volume = Pi * R *R * H

This number will be in cubic inches or cubic millimeters, depending on the measurement system used.


The Area of a Sphere is equal to the Square of the Radius of the sphere multiplied by 12.566 ( 4 * Pi ) or Pi times the Diameter squared ( Pi * D * D ).

 

Area = 12.566 * R * R

Area = 4 * Pi * R * R

Area = Pi * D^2

This number will be in square inches or square millimeters, depending on the measurement system used.

Circle9
Figure #9. and #10., The area and volume of a sphere.

 


The Volume of a Sphere is equal to the Radius of the Sphere, multiplied by the Radius again. Then this number is multiplied by the radius again. Then this number is multiplied by 12.566. and the result is divided by 3.

Volume = 12.566 * R * R * R / 3

Volume = 4 * Pi * R * R * R / 3

Sphere Volume   =   4/3 * Pi * r³     =     ( Pi *•d³)/6

This number will be in cubic inches or cubic millimeters, depending on the measurement system used.

*See also, Ball Weight and Density calculations
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