### Home > PC > Chapter 11 > Lesson 11.1.4 > Problem11-53

11-53.

Transform the following equations from polar form to rectangular form and find the stated information.

1. Find the center and the radius of the circle from the equation $r = 8\sin(θ)$.

$r^2=8r\sin(\theta)$

$x^{2} + y^{2} = 8y$

Complete the square so that you can identify the center and radius of the circle.

2. $r = \frac { 3 } { 5 \sin ( \theta ) + \cos ( \theta ) }$

$5r\sin(\theta)+r\cos(\theta)=3$

$5y + x = 3$