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

The correct answer is D

Explanation:

Plato

Answer 2

D

Explanation:

To convert from polar to rectangular form

• x = rcosΘ , y = rsinΘ

• r =
`√(x^2+y^2)` ⇒ r² = x² + y²

Given

r = 8cosΘ

r = 8 ×
`(x)/(r)` ( multiply both sides by r )

r² = 8x, hence

x² + y² = 8x ⇒ D