JEE Advance - Mathematics (1987 - No. 6)
Find the area bounded by the curves, $${x^2} + {y^2} = 25,\,4y = \left| {4 - {x^2}} \right|$$ and $$x=0$$ above the $$x$$-axis.
4 + 25 arcsin(4/5)
25π - 4 - 25 arcsin(4/5)
25π/4 - 4 - 25 arcsin(4/5)
25π/4
4 + 25π/4