## Circle Theorems 2

Tangents to circles

#### Investigation

### Theorem 1

The length of the tangents from a point to a circle are of equal length

### Theorem 2

The Angle between a tangent and a radius is a right-angle

### Theorem 3

The angel between a tangent and a cord is equal to the angle subtended by the cord

## Examples

Given that PA is a tangent find the value ofSince PA is a tangent

Given that PA and PB are tangents find the value ofSince PA and PB are tangents they must both be of equal length. Therefore is isosceles.base angles in an isosceles triangle are equal.the angle between a tangent and a radius is a right-angle.

Find the value ofSince

#### Questions

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Categories: Geometry

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