Question

Find the length in the first quadrant of the circle described by the polar equation r = 2 sin θ + 4 cos θ. The circle is graphed in the accompanying figure. A. √2 π B. 5 π C. 2 π D. √5 π

Answer 1

The rectangular form of the equation is

(x+2)^2 + (y+1)^2 = 5

r = sqrt(5)

then the answer is D. √5 π