A POWERPOINT PRESENTATION ON CIRCLES
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An infinite number of circles can be drawn through a single point. The centers of these circles all lie on the perpendicular bisector of the line connecting the two points. Additionally, the perpendicular bisectors of all chords of a circle pass through the center of the circle, and all circles sharing a common chord have centers on the perpendicular bisector of that chord. The document also discusses properties relating the length of a chord to the radius and distance from the center, as well as defining the circumcircle of a triangle.
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A POWERPOINT PRESENTATION ON CIRCLES
- 2. INFINITE NUMBER OF CIRCLES CAN BE DRAWN THROUGH A SINGLE POINT
- 3. The centres of all the circles passing through two fixed points lie on the perpendicular bisector of the line joining these two points
- 4. The perpendicular bisectors of all chords of a circle pass through the centre of the circle. All circles sharing a common chord have their centres on the perpendicular bisector of this chord.
- 5. •The perpendicular through the midpoint of a chord passes through the centre of the circle. The perpendicular from the centre of a circle to a chord passes through the midpoint of the chord
- 6. LENGTH OF A CHORD Consider a circle with centre O and a chord AB, r be the radius and d be the perpendicular distance from the centre to the chord AB, then length of the chord is 2(√r2-d2)
- 7. CIRCUMCIRCLE The circle which passes through all the three vertices of a triangle is known as the circumcircle. The centre of the circumcircle is the circumcentre and radius of the circumcircle is the circumradius.
- 8. THANK YOU