The area of the ✽ in a ⬡
This geometry problem comes from a recent math test.
The question is the following:
We have a regular hexagon with sides equal to $1$ and six circular arcs with radius equal to $1$ from each vertices of the hexagon in it creating a flower-shaped-like object. Find the area of the flower.
I tried creating an equilateral triangle by connecting the point in the center to the vertices of the boundary but was unable to proceed.
Would be thankful if you could help me out.