Write the Rectangular Equation into Polar Form (Trigonometry, Pre-Calculus)

How to write a rectangular equation into polar form.
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[@russelllomando8460]

never heard of it, but thanks for some new info. I had HS... A, G, Trig, Pre Calc. No Polar. (mid-60s)

[@pmw3839]

Would it be possible to grade your video problems at the beginning? For instance: elementary level, or middle school, or high school, or college level? This one was a bit too advanced for me.

[@kennethdias9988]

Looking at it , it’s a 345 . Tile setters and other construction people use that everyday.

[@jerry2357]

The equation is the equation of a circle with radius sqrt(25)=5, so the polar form is r=5. EDIT: I'm just wondering why you didn't take the square root of both sides of the equation you derived. Negative r has no physical meaning, so r=5 is easier to use than r^2=25.

[@discobear5752]

He didn't take the square root because there is no square root in the original equation. The original equation has the number 25, thus the polar form of this equation would also need to use the number 25.

[@jerry2357]

@@discobear5752 Why? If I have the equation 5y=10x+15 then I can rewrite it as y=2x+3. Having the equation in the form r=5 is more useful, it is immediately obvious that it is a circle.

[@discobear5752]

@@jerry2357 You have rewritten and simplified the original equation, but the question asked you to rewrite the equation. It didn't ask you to simplify it as well. If I gave you the equation r = 5 and asked you to write that in x,y coordinates, would you arrive at the equation given in this problem, x² + y² = 25? The answer is no.

[@jerry2357]

@@discobear5752 Yes I would, because I know r=5 is the equation of a circle of radius 5, and the equation of a circle centred on the origin in cartesian coordinates is x^2+y^2=r^2.

[@terryjohinke8065]

X=3 and Y=4. or X=4 and Y=3. !6+9 =25 .Got it in my head .

[@CawasKapadia]

r equals 5

[@StephenRayWesley]

X^2+y^2=√25 5^5 (x+5x-5)

[@leetrask6042]

I didn't think r could equal -5.

[@CawasKapadia]

Radius (r) equals 5!

[@johnnyllooddte3415]

never heard of it

[@CawasKapadia]

r equals 5. ❤CK

[@jimwetzel1635]

r = 5, maybe?

[@deonerasmus5629]

That is defnitely not polar form,should be 5[45]

[@mikebocchinfuso9437]

9 + 16=25

[@tomtke7351]

r/theta