The area of the closed region bounded by the polar graph

Question

The area of the closed region bounded by the polar graph of r = √(1+cosθ) is...

Answer 1

A = (1/2)∫_a^br²dθ

A = (1/2)∫₀^2π(1+cos(θ)dθ = (1/2)[θ+sin(θ)]₀^2π

= (1/2)(2π) = π