Question

Find the area in the first quadrant bounded by the arc of the circle described by the polar equation r = 2 sin θ + 4 cos θ. The circle is graphed in the accompanying figure. A. 5π/2 + 4 B. 5 π C. 5 π + 8 D. 5π/2

Answer 1

The radius of the circle is sqrt(5)

so the A = pi*r*r = pi * sqrt(5) * sqrt(5) = 5pi

the answer os B. 5 π