Difference between revisions of "Circles"
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==Concept Lectures== | ==Concept Lectures== | ||
− | [https://youtu.be/71JXL_R7pg4/ Session 01] : Circles: Definition, centre, radius, interior and exterior of a circle | + | [https://youtu.be/71JXL_R7pg4/ Session 01] : Circles: Definition, centre, radius, interior and exterior of a circle. |
− | [https://youtu.be/6qEELv0XVdg/ Session 02] : Circles: Minor Arc, Major Arc, Central Angle | + | [https://youtu.be/6qEELv0XVdg/ Session 02] : Circles: Minor Arc, Major Arc, Central Angle. |
− | [https://youtu.be/RisuM-Iw66c/ Session 03] : Circles: Chord, diameter, segment, major segment, minor segment, secant and tangent | + | [https://youtu.be/RisuM-Iw66c/ Session 03] : Circles: Chord, diameter, segment, major segment, minor segment, secant and tangent. |
[https://youtu.be/ErnL_lv36XA/ Session 04] : Theorem: If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal. | [https://youtu.be/ErnL_lv36XA/ Session 04] : Theorem: If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal. | ||
+ | |||
+ | [https://youtu.be/fqDcctVQRo4/ Session 05] : Theorem: If two chords of a circle (or of congruent circles) are equal, then corresponding arcs are congruent. | ||
+ | |||
+ | [https://youtu.be/2Imp9qGgukE/ Session 06] : Theorem: The perpendicular from the center of a circle to a chord bisects the chord. | ||
+ | |||
+ | [https://youtu.be/OEsl1pEVTvw/ Session 07] : Theorem: The line joining the center and the mid-point of a chord is perpendicular to the chord. | ||
+ | |||
+ | [https://youtu.be/QBHPUAvy0LU/ Session 08] : Demonstration: How many circles can pass through one, two, three and more number of points on a plane? | ||
+ | |||
+ | [https://youtu.be/FMz6g7xP6I8/ Session 09] : Demonstration: Centre of the Circle lies on the angle bisector of angle between two equal chords. | ||
+ | |||
+ | [https://youtu.be/qKT7Mj5ctDY/ Session 10] : Theorem: Centre of the Circle lies on the angle bisector of angle between two equal chords. | ||
+ | |||
+ | [https://youtu.be/tpf2rWHOUhM/ Session 11] : Theorem: If the centre lies on angle bisector of the angle between two chords then the chords are equal. | ||
+ | |||
+ | [https://youtu.be/9HQ2hImH10w/ Session 12] : Theorem: Line joining the centres of two intersecting circles perpendicularly bisects the common chord | ||
+ | |||
+ | ==Problem Solving Sessions : Section 1== | ||
+ | [https://youtu.be/KdImHaVw3w8/ Session 13] : Problem # 01 : The radius of a circle is 13 cm and length of one of its chord is 10 cm. Find the distance of the chord from the center. | ||
+ | |||
+ | [https://youtu.be/SkM1cTz0fs4/ Session 14] : Problem # 02 The radius of the given circle is 5 cm. OR ⊥PQ, OC⊥AB and PQ || AB. Find the length of RC |
Latest revision as of 07:33, 16 February 2020
Concept Lectures
Session 01 : Circles: Definition, centre, radius, interior and exterior of a circle.
Session 02 : Circles: Minor Arc, Major Arc, Central Angle.
Session 03 : Circles: Chord, diameter, segment, major segment, minor segment, secant and tangent.
Session 04 : Theorem: If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.
Session 05 : Theorem: If two chords of a circle (or of congruent circles) are equal, then corresponding arcs are congruent.
Session 06 : Theorem: The perpendicular from the center of a circle to a chord bisects the chord.
Session 07 : Theorem: The line joining the center and the mid-point of a chord is perpendicular to the chord.
Session 08 : Demonstration: How many circles can pass through one, two, three and more number of points on a plane?
Session 09 : Demonstration: Centre of the Circle lies on the angle bisector of angle between two equal chords.
Session 10 : Theorem: Centre of the Circle lies on the angle bisector of angle between two equal chords.
Session 11 : Theorem: If the centre lies on angle bisector of the angle between two chords then the chords are equal.
Session 12 : Theorem: Line joining the centres of two intersecting circles perpendicularly bisects the common chord
Problem Solving Sessions : Section 1
Session 13 : Problem # 01 : The radius of a circle is 13 cm and length of one of its chord is 10 cm. Find the distance of the chord from the center.
Session 14 : Problem # 02 The radius of the given circle is 5 cm. OR ⊥PQ, OC⊥AB and PQ || AB. Find the length of RC