Which lengths are equal in the diagrams?

Which angles are equal?

Let AB = BC = 12cm

Have a go at drawing each diagram.

Of the two squares, which has the greatest area?

How do you know?

Draw the radii at the points where the circle touches the triangle.

If the radius of the circle is r, can you find the hypotenuse of the triangle in terms of r?

Mathematical reasoning & proof. Circle properties and circle theorems. Pythagoras' theorem. Cartesian equations of circles. 2D shapes and their properties. Sine rule & cosine rule. Area - circles, sectors and segments. Sine, cosine, tangent. Regular polygons and circles. Area - squares and rectangles.