Question

Convert r = 8cos θ to rectangular form. A. x2 + y2 = 8y B. x2 + y2 = 64x C. x2 + y2 = 16x D. x2 + y2 = 8x

Answer 1

Given:

The given polar equation is:

`r=8\cos\theta`

To find:

The rectangular form of the given polar equation.

Solution:

We know that,

`r^2=x^2+y^2`

`x=r\cos \theta`

We have,

`r=8\cos\theta`

Multiply both sides by r.

`r^2=8r\cos\theta`

`x^2+y^2=8x`

Therefore, the correct option is D.