Question

Convert r = 8cos θ to rectangular form.
A. x^2 + y^2 = 8y
B. x^2 + y^2 = 64x
C. x^2 + y^2 = 16x
D. x^2 + y^2 = 8x

Answer 1

Answer:

D

Step-by-step explanation:

To convert from polar to rectangular form

• x = rcosΘ , y = rsinΘ

• r = $\sqrt{x^2+y^2}$ ⇒ r² = x² + y²

Given

r = 8cosΘ

r = 8 × $\frac{x}{r}$ ( multiply both sides by r )

r² = 8x, hence

x² + y² = 8x ⇒ D

Answer 2

Answer:

The correct answer is D

Step-by-step explanation:

Plato