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| The theorems that involve chords of a circle are : | | The theorems that involve chords of a circle are : |
− | * Perpendicular bisector of a chord passes through the center of a circle. | + | * Perpendicular bisector of a chord passes through the centre of a circle. |
− | * Congruent chords are equidistant from the center of a circle. | + | * Congruent chords are equidistant from the centre of a circle. |
| * If two chords in a circle are congruent, then their intercepted arcs are congruent. | | * If two chords in a circle are congruent, then their intercepted arcs are congruent. |
| * If two chords in a circle are congruent, then they determine two central angles that are congruent. | | * If two chords in a circle are congruent, then they determine two central angles that are congruent. |
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| ====== [[Chord length and distance for centre of the circle]] ====== | | ====== [[Chord length and distance for centre of the circle]] ====== |
− | For a chord the distance from the center is the perpendicular distance of the chord such that it passes through the center. | + | For a chord the distance from the centre is the perpendicular distance of the chord such that it passes through the centre. |
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| ====== [[The longest chord passes through the centre of the circle]] ====== | | ====== [[The longest chord passes through the centre of the circle]] ====== |
| Investigating the diameter is the longest chord of a circle. | | Investigating the diameter is the longest chord of a circle. |
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− | ====== [[Perpendicular bisector of a chord passes through the center of a circle]] ====== | + | ====== [[Perpendicular bisector of a chord passes through the center of a circle|Perpendicular bisector of a chord passes through the centre of a circle]] ====== |
| Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point. | | Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point. |
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− | ====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ====== | + | ====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the centre of a circle]] ====== |
| In the same circle or in circles of equal radius: | | In the same circle or in circles of equal radius: |
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| ##Cone Construction http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.html | | ##Cone Construction http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.html |
| ##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.ggb | | ##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/conesurfacearea.ggb |
− | ====== Solved problems/ key questions (earlier was hints for problems). ====== | + | ====== Solved problems/ key questions (earlier was hints for problems). ====== |
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− | === [[KVS Circles|KVS Teachers Contributions]] ===
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| ===Projects (can include math lab/ science lab/ language lab) === | | ===Projects (can include math lab/ science lab/ language lab) === |