The circle has radius 1 cm.

Two vertices of the square lie on the circle.

One edge of the square goes through the centre of the circle, as shown.

What is the area of the square?

This problem is taken from the UKMT Mathematical Challenges.

One edge of the square goes through the centre of the circle, as shown.

What is the area of the square?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.