# Clover like arcs

Geometry Level 3

Quadrilateral ABCD in the above diagram is a square with side length $$x = 27 \text{ cm}$$. The arcs in the square are segments of circles with centers at the corners of the square. If the perimeter of the region bounded by the thick red curves is given to be $$k\pi$$, what is the value of $$k$$?

×