Question

What is the distance between `(5 ,(5 pi)/4 )` and `(8 , (11 pi )/12 )`?

Answer 1

=`sqrt ( 9 + (pi/3)^2)`

Explanation:

Distance between points `A(5, 5pi/4), B(8,11pi/12)` using Distance formula is as below:

=`sqrt ( (5-8)^2 + ((5pi)/4 – (11pi)/12)^2`

=`sqrt ( (-3)^2 + ((15pi)/12 – (11pi)/12)^2`

=`sqrt ( 9 + ((4pi)/12)^2)`
=`sqrt ( 9 + (pi/3)^2)`