1
Circle Terms
Use centre, radius, diameter, chord, arc, segment and sector
Chapter route
Circles
This chapter page turns the high-level subject view into an ordered learning slice, with direct links from curriculum items into topic and skill detail.
Ordered curriculum items
Each curriculum item can now route into topic and skill-level detail.
2
Applications
Connect circles to wheels, technology and designs
3
Unique Circle
Understand existence and uniqueness of a circle
4
Circumcircle
Construct circle through triangle vertices
5
Circumcentre
Classify circumcentre location for acute, right and obtuse triangles
6
Arc Angles
Explain angle subtended by an arc at centre and circumference
7
Equal Chords
Use chord-angle relationships at centre
8
Equal Chords Converse
Infer chord equality from equal centre angles
9
Chord Perpendicular
Use centre-to-chord perpendicular property
10
Chord Bisector
Use perpendicular from centre to bisect chords
11
Chord Distance
Solve chord distance problems
12
Unequal Chords
Determine longer chord using centre distance
13
Diameter
Use diameter as maximum chord property
14
Arc Angle Theorem
Use angle at centre double angle at circumference
15
Same Segment
Solve same-segment circle angle problems
16
Semicircle
Recognise right angles in semicircles
17
Cyclic Figures
Determine when points or quadrilaterals are cyclic
18
Cyclic Theorem
Use supplementary opposite angles and converse
19
Cultural Motifs
Connect circles to Ashoka Chakra, Dharmachakra and other motifs
20
Circle Reasoning
Combine circle theorems in logical problems
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