Question

various petals of flowers polygon​

Answer 1

Answer:

Look at the equilateral triangle rotating around the equilateral triangle. It produces a flower with three petals:

If each equilateral triangle has side length r, can you work out the perimeter of the flower's petals?

Now consider a flower made by the triangle rotating about a square with side length r - what is the perimeter of the petals now?

Answer 2

Answer:

Look at the equilateral triangle rotating around the equilateral triangle. It produces a flower with three petals:

If each equilateral triangle has side length r, can you work out the perimeter of the flower's petals?

Now consider a flower made by the triangle rotating about a square with side length r - what is the perimeter of the petals now?