Question

What is the distance between the following polar coordinates?: `(2,(3pi)/8), (7,(3pi)/8)`

Answer 1

5

Explanation:

...I was going to convert 'em to Cartesian coordinates, and calculate the distance with the Pythagorean theorem.

But it's not necessary here. You can draw a line 2 units long, along the `(3pi)/8` angle. Keep drawing another 5 units along that same angle, to mark a point 7 units out. Boom, you've got your answer: 5 units.