Maths tough questions

    1.   If the area of a circle and a semicircle are equal , if those are placed one top of another in such a way the midpoints are at the exact point when viewed from top . What is the value of Semicircle radius if the value of the circle radius is  √2 Solution   :    Let us keep radius of the circle = r       And   l et us keep radius of the semicircle = R      As given in this question areas  are equal .    Area of the circle  =                                   Area of semicircle  =