Theorems 10.3 to 10.5: Tangents and Circles

Theorem 10.3

Statement

The two tangents drawn to a circle from a point outside the circle are equal in length.

Class Activity

Corollary

The two tangents drawn to a circle from an outer point make equal angles with the line segment joining the centre and outer point.

Theorem 10.4

Statement

If two circles touch externally, the distance between their centres is equal to the sum of their radii.