HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 02 Question 20

Question 20

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

Question illustration

$57\ \mathrm{cm}^2$
$58\ \mathrm{cm}^2$
$59\ \mathrm{cm}^2$
$60\ \mathrm{cm}^2$