Circles G9

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Circles and Its Related Terms : A Review 9 Topics
What is a Circle?
How do we Define a Circle?
What are the Different Regions Associated with a Circle?
What is the Circumference?
What is Pi?
What is the Area of a Circle? Part 1
What is the Area of a Circle? Part 2
What is a Chord?
What is the Distance of a Chord from the Centre? What does a Chord Divide a Circle into?
Angle Subtended by a Chord at a Point 2 Topics
How do we Prove that Congruent Chords of a Circle Subtend Congruent Angles at the Centre?
How do we Prove that Chords subtending Equal Angles at the Centre are Equal?
Perpendicular from the Centre to a Chord 2 Topics
How do we Prove that the Perpendicular from the Centre of the Circle to the Chord Bisects the Chord?
How do we Prove that the Line joining the Centre of the Circle and the Midpoint of the Chord is Perpendicular to that Chord?
Circle through Three Points 2 Topics
How many Circles can pass through One point; Two points; or Three points?
How do we Prove that only One Circle can pass through Three Non-Collinear Points?
Equal Chords and Their Distances from the Centre 2 Topics
How do we Prove that Equal Chords are Equidistant from the Centre?
How do we Prove that the Chords which are Equidistant from the Centre are Equal?
Angle Subtended by an Arc of a Circle 5 Topics
How is the Angle formed by an Arc at the Centre related to the Angle formed by the Arc in the remaining part of the Circle?
Can we prove that the Angle formed by an Arc at the Centre is Twice that formed by the Arc in the remaining part of the Circle?
What is the Angle of a Segment?
What are Concyclic Points?
Concyclic Points – Proof
Cyclic Quadrilaterals 4 Topics
What is the Sum of the Measure of Opposite Angles in a Cyclic Quadrilateral?
How do we Prove that the Opposite Angles of a Cyclic Quadrilateral add up to 180 degrees?
What is the Quadrilateral which has its Opposite Angles add up to 180 degrees called?
How do we Prove that if the Sum of Opposite Angles of a Quadrilateral is 180 degrees, then it is Cyclic?
How do we Prove that the Perpendicular from the Centre of the Circle to the Chord bisects the Chord?
Quiz - Circles G9
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How do we Prove that the Line joining the Centre of the Circle and the Midpoint of the Chord is Perpendicular to that Chord?

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