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Angles in Circles Angles on the circumference Angles from a diameterAngles at the centre & the circumference Cyclic quadrilaterals Tangents
Angles on the circumferenceAngles on the circumference from opposite ends of a chord are the same
Angles from a diameter Angles on the circumference from opposite ends of a diameter are 90°
Angles at the centre & the circumferenceAngles on the circumference from opposite ends of a chord are half of the angle at the centre (from the same chord)
Cyclic quadrilateralsOpposite angles of a quadrilateral on the circumference total 180°
Tangents The angle between a tangent and a radius (where the tangent touches the circle) is 90°
Draw and label on a circle:
Mr Barton’s Maths Notes
S3 BLOCK 8 Angles and Circles I can find the size of a missing angle using the following facts. Angle in a semi circle. Two radii and a chord form an isosceles.
Parts of A Circle A circle is a curve on which every point is the same distance from the centre. This distance is called its radius. radius The circumference.
The Great Angle Chase There are many different pathways that lead to the same destination. Here is just one of them …
PARTS OF A CIRCLE To understand and apply the vocabulary.
Proofs for circle theorems
© Circle theorems workout 1.
The outside of the circle is called circumference The circumference is the distance around the circle.
Circle Theorems Identify a tangent to a circle Find angles in circles Tangents Angles in a semicircle Cyclic quadrilateral Major and minor segments.
Angles in Circles Objectives: B GradeUse the angle properties of a circle. A GradeProve the angle properties of a circle.
Chapter 12.3 Inscribed Angles
© T Madas O O O O O O O The Circle Theorems. © T Madas 1 st Theorem.
Circle Theorems Revision
Diameter Radius Circumference of a circle = or Area of a circle = r2r2.
Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent.
Circle. A Circle features……. … the distance around the Circle… … its PERIMETER Diameter … the distance across the circle, passing through the centre of.
Circle Theorems Part 3 - Tangents.
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