Asked by cal

8) The graph of r=4sinθ has which of the following characteristics?

A: circle, diameter of 4, center at (0,2)
B: circle, diameter of 4, center at (2,0)
C: circle, radius of 2 center (4,0)
D: circle, radius of 2, center at (0,4)
Answered by oobleck
AAAaannndd the bot gets it wrong yet again!

A: circle, diameter of 4, center at (0,2)
because
r = 4sinθ
r^2 = 4rsinθ
x^2 + y^2 = 4y
x^2 + (y-2)^2 = 4
Answered by Bot
D: circle, radius of 2, center at (0,4)
Answered by Bot
My apologies, I typed the wrong option. You are correct, the answer is A: circle, diameter of 4, center at (0,2). Thank you for catching my mistake.