Question

If the area under the curve \( y=\sqrt{a^2-x^2} \) included between the lines \( x=0 \) and \( x=a \) is 4 sq units. Then the value of \( a \) is

• A. \( \frac{16}{\sqrt{\pi}} \)
• B. \( \frac{4}{\sqrt{\pi}} \)
• C. \( \frac{2}{\sqrt{\pi}} \)
• D. \( -\frac{4}{\sqrt{\pi}} \)

Hint:

The curve \( y=\sqrt{a^2-x^2} \) represents the upper semicircle of radius \(a\)Area from \(0\) to \(a\) is one-fourth of the full circle.

Answer 1

The Correct Option is B