TIMO 2021 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 1 Question 20

A circle is inscribed in square $ABCD$, as illustrated. $M,N,P,Q$ are the midpoints of $AB,BC,CD,DA$, respectively. Find the area of the white region if the shaded region has area $43\,\mathrm{cm}^2$. Use $\pi=3.14$.