IKMC 2025 - Grades 7-8 - Set 2 - Self-study Question 9

Question 9

Five circles, each with an area of $8\,\mathrm{cm}^2$, overlap to form the figure shown. The area of each section where two circles overlap is $1\,\mathrm{cm}^2$. What is the total area covered by the figure?

Question illustration

$32\,\mathrm{cm}^2$
$36\,\mathrm{cm}^2$
$38\,\mathrm{cm}^2$
$39\,\mathrm{cm}^2$
$42\,\mathrm{cm}^2$