



 
Hi James, I drew a diagram of your "flower", called the radius of the circle r and shaded half of one petal a darker pink.
The area of the region shaded dark pink is the difference between the area of the sector ABC and the triangle ABC. The sector has a central angle of 90 degrees and a radius of r units and the triangle has a base of r units and a height of r units. The entire area of the flower is eight times this area. I hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 