Question

What is the distance between `(2 , (5 pi)/4 )` and `(8 , (2 pi )/3 )`?

Answer 1

The distance between them is `~~ 8.73`

Explanation:

Because the origin and the two given points form a triangle, one can use the Law of Cosines for this type of problem:

`c² = a² + b² - 2(a)(b)cos(C)`

where `a = 2, b = 8,` and `C = 5pi/4 - 2pi/3 = 7pi/12`:

`c² = 2² + 8² - 2(2)(8)cos(7pi/12)`

`c ~~ 8.73`