Question

The area bounded by the curve $y=\sqrt{4-x^2}$ and the line $y=0$ is

• A. $4\pi$
• B. $2\pi$
• C. $\pi$
• D. $\frac{\pi }{2}$

Answer 1

The correct option is B $2\pi$

The area bounded by the curve $y=\sqrt{4-x^2}$ and the line $y=0$ is the area of the semicircle $x^2+y^2=4$ $=2\pi$