What is the distance between (-3 , (13 pi)/12 ) and (-1 , pi/4 )?

1 Answer
Oct 9, 2017

sqrt(4 + (25 π^2)/36)

Explanation:

When you want to know distance between A and B when A(x_1, y_1), B(x_2, y_2), According to Pythagoras' Theorem, You get the distance as

Line AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

So for your question, x_1=-3, y_1=(13pi)/12, x_2=-1, y_2=pi/4

Plug in those four values into sqrt((x_2-x_1)^2+(y_2-y_1)^2)

sqrt((-1-(-3))^2+(pi/4-(13pi)/12)^2)

=sqrt(4 + 25/36pi^2)