Question

Q7 Q31.) Convert the rectangular equation to a polar equation that expresses r in terms of θ.

Answer 1

X^2 + (y-2)^2 = 4 is a circle centered at (0,2) with radius=2, touching the x-axis

when converting this circle to a polar equation in term of r and θ:

r is a chord w/ one end at (0,0)

θ is a tangent chord angle formed by the x-axis and r

by properties of tangent chord angle, r=2*radius*sinθ

r=4sinθ