Transform the polar equation to an equation in rectangular c

Transform the polar equation to an equation in rectangular coordinate The identify and graph the r = 2 cos theta

in polar coordinates

r^2 = x^2 +y^2

x = r cos(theta)

y = r sin(theta)

r = 2 cos( theta )

multiply r on both sides

r^2 = 2 rcos(theta)

x^2 + y^2 = 2 x

x^2 - 2x + y^2 = 0

x^2 - 2 (1)x + (1)^2 - (1)^2+ y^2 = 0

( x - 1 )^2 + y^2 = (1)^2

it is circle with radius of 1 and center ( 1,0)