VTMO 2026 - Grade 6 - Semifinal - SET 10 - Self-study Question 22

In the figure, the larger square has all four vertices on the larger circle. The smaller square’s vertices are the midpoints of the larger square’s sides. Find the area of the smaller circle if the larger circle has area 32 cm².

Diagram clarification: the circles and squares share a centre, and the smaller circle is tangent to all four sides of the smaller square.