Difference between revisions of "Circles"

From CENTUM ACADEMY WIKI!
Jump to: navigation, search
(Problem Solving Sessions Section 1)
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
==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.
Line 10: Line 10:
 
[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/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/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/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] : How many circles can pass through one, two, three and more number of points on a plane?
+
[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