# Lesson : Circle Properties

Property 1 :  Angle subtended at the Centre of a circle is twice the angle subtended at the circumference.
Property2 :  Angles subtended by an arc in the same segment of a circle
Property 3 :  The opposite angles in a cyclic quadrilateral add up to 180 degrees- the angles are supplementary.
Property4 :  The angle in a semi-circle is a right angle.
Property 5:   The angle between a tangent and the radius drawn to the point of contact is 90 degrees.
Property6 :  From any point outside a circle just two tangents to the circle may be drawn and they are of equal length.

#### Property 1 :

Angle subtended at the Centre of a circle is twice the angle subtended at the circumference.

#### Property2 :

Angles subtended by an arc in the same segment of a circle

#### Property 3 :

The opposite angles in a cyclic quadrilateral add up to 180 degrees- the angles are supplementary.

Property 4 :

The angle in a semi-circle is a right angle.

#### Property 5:

The angle between a tangent and the radius drawn to the point of contact is 90 degrees.

#### Property 6 :

From any point outside a circle just two tangents to the circle may be drawn and they are of equal length.

### Skill builder questions

 Practice Worksheet – 1 Circle theorem ws – 1 Answers Practice Worksheet – 2 Circle theorem ws – 2 Answers