Write the polar equation r=8cosθ in Cartesian form as x^2+y^2=

Answer 1

r = 8cosθ

So, r² = 8rcosθ

x² + y² = 8x

(x² - 8x) + y² = 0

(x² - 8x + 16) + y² = 16

(x - 4)² + (y - 0)² = 4²

This is the circle with center (4,0) and radius 4.