Enter the radii (r1,r2) and the angles (θ1,θ2) into the Polar Distance Calculator. The calculator will evaluate and display the Polar Distance.
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Polar Distance Formula
The following formula is used to calculate the Polar Distance.
Dpolar = r1^2+r2^2 – 2*r1*r2*cos(θ2-θ1)
- Where Dpolar is the Polar Distance
- r1,r2 are the radii (r1,r2)
- θ1,θ2 are the angles (θ1,θ2) (deg)
How to Calculate Polar Distance?
The following example problems outline how to calculate Polar Distance.
Example Problem #1:
- First, determine the radii (r1,r2).
- The radii (r1,r2) is given as: 5,10.
- Next, determine the angles (θ1,θ2).
- The angles (θ1,θ2) is provided as: 30,50.
- Finally, calculate the Polar Distance using the equation above:
Dpolar = r1^2+r2^2 – 2*r1*r2*cos(θ2-θ1)
The values given above are inserted into the equation below and the solution is calculated:
Dpolar = 5^2+10^2 – 2*5*10*cos(50deg-30deg) = 31.03
Example Problem #2:
For this problem, the variables needed are provided below:
radii (r1,r2) = 6,7
angles (θ1,θ2) = 20,50
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
Dpolar = r1^2+r2^2 – 2*r1*r2*cos(θ2-θ1) = ?
