A calculus problem by Hummus a

Calculus Level 3

\[\large \displaystyle\int _{ 0 }^{ a }{ \dfrac { dx }{ x+\sqrt { { a }^{ 2 }-{ x }^{ 2 } } } } =\dfrac { \pi }{ B } \]

The equation above holds true for a positive real number \(a\). Find \(B\).

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