Question

What is the distance between the following polar coordinates?: `(1,(5pi)/4), (5,(3pi)/8)`

Answer 1

5.93577 approx

Explanation:

In cartesean coordinates `(1, (5pi)/4)` is `(1 cos ((5pi)/4), 1 sin ((5pi)/4) )` that is `(-1/sqrt2, -1/sqrt2)` Or (-0.7071, -0.7071)

Like wise `(5, (3pi)/8)` is `(5cos 3pi/8, 5 sin 3pi/8)`

Or(1.9134, 4.6194)

Use distance formula to get it=5.93577 approx