Question 18
The bottle of a perfume has a cylindrical shape, and a flower-shaped package is to be built to hold it. To make this package, a square sheet of side $n$ will be used, together with four circular arcs centred at the vertices of the square with radius $n$, and a circle tangent to these arcs.
a) What is the radius of the circle?
b) What is the area of the lightest region of the figure?
a) What is the radius of the circle?
b) What is the area of the lightest region of the figure?