Determine the area under the curve \(y=\sqrt{a^{2}-x^{2}}\) included between the lines x = 0 and x = a.
A. \(\frac{\pi a^{a}}{4}\)
B. \(\frac{\pi a^{3}}{4}\)
C. \(\frac{\pi a^{2}}{8}\)
D. None of these
Answer:A
Determine the area under the curve \(y=\sqrt{a^{2}-x^{2}}\) included between the lines x = 0 and x = a.
A. \(\frac{\pi a^{a}}{4}\) B. \(\frac{\pi a^{3}}{4}\) C. \(\frac{\pi a^{2}}{8}\) D. None of these