Circle theorems

Circle theorems

Circle theorems


The angle at the centre is twice the angle at the circumference for angles which stand on the same arc.


Angles at the circumference which are in the same segment are all equal.


An angle at the circumference which stands on the diameter of the circle is always a right-angle.


Opposite angles of a cyclic quadrilateral (all vertices on the circumference) add up to 180° (d+f = e+g = 180).


A tangent meets the radius of a circle at 90°.

There is one more circle theorem, what is it?

Shape and Space

3D shapes

3D shapes

Shape and Space

Area

Area

Shape and Space

Congruency

Congruency

Shape and Space

Coordinates

Coordinates

Shape and Space

Loci

Loci

Shape and Space

Pythagoras' theorem

Pythagoras' theorem