Switch to rectangular coordinates please! r=5sin(theta)?

Question

r=5sin(theta)

Answer 1

y = r*sin(T)

We know that r = 5*sin(T) which gives sin(T) = r/5
And r^2 = x^2 + y^2

y = r^2/5 = (x^2 + y^2)/5
y^2 - 5*y + x^2 = 0
y^2 - 5*y + 25/4 - 25/4 + x^2 = 0 .... complete the square for the y terms
(y - 5/2)^2 + x^2 = 25/4

This is just a circle centered at (0, 5/2) with a radius or 5/2

Answer 2

doesn't make sense
doesn't sound like math
it's gibberish!

Answer 3

USE A CALCULATER,THE SMARTTTT ONES