# How do you find the points of intersection of #theta=pi/4, r=2#?

##### 1 Answer

Feb 21, 2018

Their point of intersection is at

#### Explanation:

The point of intersection in polar coordinates is (unsurprisingly)

#(r,theta) = (2,pi/2)#

To get the cartesian coordinates, apply the following

#x = rcos theta = 2 cos(pi/2) = 2 (1/sqrt2) = sqrt2#

#y = rsin theta = 2 sin(pi/2) = 2 (1/sqrt2) = sqrt2#