Homework Help Question & Answers

How do you convert #r= 9# into cartesian form?

How do you convert #r= 9# into cartesian form?
0 0
Next > < Previous
ReportAnswer #1

Use the equality #r^2 = x^2 + y^2# to find the converted form
#x^2 + y^2 = 81#

Explanation:

The question How do you convert rectangular coordinates to polar coordinates? has a list of equations used when converting between polar and rectangular systems along with their derivations.

For this problem, we will be using
#r^2 = x^2 + y^2#

If we square both sides of the of #r = 9# we get

#r^2 = 81#

Now we can use the above equality to substitute in #x# and #y# to get

#x^2 + y^2 = 81#

Note that this should make sense intuitively, as #r=9# in polar coordinates is all points of distance #9# from the origin, that is, a circle of radius #9# centered at the origin, and the formula for a circle of radius #s# centered at #(h, k)# in Cartesian coordinates is #(x-h)^2 + (y-k)^2 = s^2#.
Thus a circle of radius #9# centered at the origin would have the formula #(x-0)^2 + (y-0)^2 = 9^2#

answered by: sente
Know the answer?
Add Answer of:
How do you convert #r= 9# into cartesian form?
Your Answer: Your Name: What's your source?
Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.