Circle theorems

Back to : Algebra | Sequence and Series

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.

Theorem 1 :
Angle subtended at the Centre of a circle is twice the angle subtended at the circumference.

Theorem 2 :
Angles subtended by an arc in the same segment of a circle

This course caters for students who already possess knowledge of basic

Theorem 3 :
The opposite angles in a cyclic quadrilateral add up to 180 degrees- the angles are supplementary.

.

Theorem 4 :
The angle in a semi-circle is a right angle.
.

Theorem 5:
The angle between a tangent and the radius drawn to the point of contact is 90 degrees.
.

Theorem 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 worksheet 1 of 4
Practice worksheet – 2 Circle Theorem worksheet 2 of 4
Practice worksheet – 3 Circle Theorem worksheet 3 of 4
Circle theorems – Revision