Use calculus. Make a graph, find the functions of the circles, and use calculus to calculate the area. After that, we are done!

Looks more like MSM geometry. Notice that half of one petal combined with an equilateral triangle is a sector with angle $\frac{\pi}3.$ Since each circle has radius $R,$ the area of the triangle is $\frac{R^2\sqrt3}4$ and the sector's area is $\frac{\pi R^2}{6}$ This should be enough information to give you a start to the problem, good luck!

Try calulating just one of the six parts and multiply by 6