You may also like

problem icon

Bendy Quad

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

problem icon

Darts and Kites

Explore the geometry of these dart and kite shapes!

problem icon


A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?


Age 14 to 16 Challenge Level:

square ABCD of sides 10 cm, with 4 quadrants of radius 10cm constructed using the corners of the square as centres.

Given a square $ABCD$ of sides $10$ cm, and using the corners as centres, construct four quadrants with radius $10$ cm each inside the square. The four arcs intersect at $P$, $Q$, $R$ and $S$. Find the area enclosed by $PQRS$.