Enter the distance from A to C, the distance from B to D, and the distance from B to C into the Cross Ratio Calculator. The calculator will evaluate and display the Cross Ratio.
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Cross Ratio Formula
The following formula is used to calculate the Cross Ratio.
CR = (AC*BD) / ( BC * AD)
- Where CR is the Cross Ratio
- AC is the distance from A to C
- BD is the distance from B to D
- BC is the distance from B to C
- AD is the distance from A to D
How to Calculate Cross Ratio?
The following example problems outline how to calculate Cross Ratio.
Example Problem #1
- First, determine the distance from A to C.
- The distance from A to C is calculated to be : 4.
- Next, determine the distance from B to D.
- The distance from B to D is measured to be: 6.
- Next, determine the distance from B to C.
- The distance from B to C is found to be: 7.
- Next, determine the distance from A to D.
- The distance from A to D is found to be: 10.
- Finally, calculate the Cross Ratio using the formula above:
CR = (AC*BD) / ( BC * AD)
The values given above are inserted into the equation below and the solution is calculated:
CR = (4*6) / ( 7 * 10) = .3428 ( )
Example Problem #2
The variables required for this problem are provided below:
distance from A to C = 8
distance from B to D = 9
distance from B to C = 10
distance from A to D = 4
Test your knowledge using the equation and check your answer with the calculator above.
CR = (AC*BD) / ( BC * AD) = ( )
