Question

What is the distance between `(4 ,( - 3pi)/8 )` and `(7 ,( 3 pi )/4 )`?

Answer 1

`d=sqrt(81pi+576)/8`
`d approx 3.6022` units

Explanation:

`(4,(-3pi)/8)` and `(7,(3pi)/4)`
`(4,(-3pi)/8)` and `(7,(6pi)/8)`

Distance formula:
`d=sqrt((y2-y1)^2+(x2-x1)^2)`
`d=sqrt([((6pi)/8)-((-3pi)/8)]^2+[7-4]^2)`

`d=sqrt[(81pi)/64 + 9]`
`d=sqrt[(81pi+576)/64]`

`d=sqrt(81pi+576)/8`
`d approx 3.6022` units