Question

Area lying in the first quadrant and bounded by the circle x2+y2=4 and the lines x=0 and x=2 is

• A. $\pi$
• B. $\frac{π}{2}$
• C. $\frac{π}{3}$
• D. $\frac{π}{4}$

Answer 1

Answer: (A)

$\pi$

Answer 2

The correct option is(A): $\pi$.

The area bounded by the circle and the lines, x=0 and x=2, in the first quadrant is

represented as

∴Area OAB=$∫_0^20y dx$

=$∫_0^2√4-x^2dx$

=$[\frac{x}{2}\sqrt{4-x^2}+\frac{4}{2}sin^{-1}\frac{x}{2}]_0^2$

=$2(\frac{π}{2})$

=π units

Thus, the correct answer is A.