Polar coordinates calculator is very useful tool for finding the coordinates from the fixed point and angle having one direction. This tool uses Polar coordinatesrules and formulas. One need to substitute the values only and it helps in finding the result automatically.This can be understood and easily evaluated by the following given below examples:-
Example 1:-
Find the Polar coordinatesfor a triangle having base 15 and height 10.
Solution 1:-
We can find Polar coordinates for the given angle by pythagorean theorem. This will help to find the longest
side.
r2 = (15)2 + (10)2
r = √(225 + 100) = 18
Use tangent function and find angle
Tan(θ) = 10/15 ; θ = tan-1 (10/15)
θ = 33.69 °
Answer Polar coordinates (18,33.69°).
Example 2:-
Find the Polar coordinatesfor a triangle having base 20 and height 8.
Solution 2:-
We can find Polar coordinates for the given angle by pythagorean theorem. This will help to find the longest
side.
r2 = (20)2 + (8)2
r = √(400 + 64) = 21.54
Use tangent function and find angle
Tan(θ) = 8/20 ; θ = tan-1 (8/20); θ = 21.8 °
Answer Polar coordinates (21.54,21.8°)