Practicum on E resource book

1. WELCOME to my
practicum
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Definition of circle
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One point andtwo points
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Chord ofa circle
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Perpendicularbisector of a line
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Principlesrelating to chord and perpendicular bisector
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Figures relatingto principles
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Usesand application
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Length of chords -facts
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Formula for length of chord
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Three points
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Circumcentreand circumcircle
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Method of drawing a circumcircle
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Generalisation of circumcircles
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6. CIRCLE -DEFINITIONThe path of a point which is at a fixed distance from a fixed point in the plane is called a circle The fixed point is called the centreThe fixed distance is called the radius.
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7. ONE POINTTWO POINTSMany circles can be drawn whichMany circles of different radii can be drawnpasses through a pointwhich pass through two points
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8. CHORD OF A CIRCLE
The line joining any two points on the circle is called a CHORD.
B
A
AB is the chord of the circle.
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9. PERPENDICULAR BISECTOR OF A LINE
The locus of a point which moves at a fixed distance from the points A and B is the perpendicular bisector of AB.
A B
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11. Figures relating to the principlesRelating to the mid point of the chord , the Relating to the centre and the perpendicularperpendicular bisector and centre bisectors of the chord
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13. 3. The bisector of the angle formed by extending two non parallel and equalchords, passes through the centre of the circle
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15. FORMULA FOR LENGTH OF CHORD
If the length of the chord l, radius of circle r, distance from the centre to the chord d, then
l= 2풓ퟐ−풅ퟐ
O
r
d
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THREE POINTS
If three points are on a straight line, we cannot draw a circle passing through these three points
If three points are not on a straight line, we can draw a circle passing through these points by taking the point of intersection of the perpendicular bisectors of the line joining the three points

17. CIRCUMCIRCLE AND CIRCUMCENTRE
The centre which passes through the three vertices of a triangle is called the circumcircle.
The centre of the circumcircleis called circumcentre.
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