IKMC 2023 - Grades 9-10 - Set 2 - Self-study Question 19

Question 19

A square of side 30 cm is divided into nine equal smaller squares. It contains circles of radii 5 cm (bottom right), 4 cm (top left), and 3 cm (top right), as shown. What is the shaded area?

Question illustration

400 cm²
500 cm²
$(400+50\pi)\text{ cm}^2$
$(500-25\pi)\text{ cm}^2$
$(500+25\pi)\text{ cm}^2$