883
edits
Changes
From Karnataka Open Educational Resources
→Circumference of a circle
======[[Is circle a Polygon ? - A debate|Is circle a Polygon ? - A debate]]======
======[[Is circle a Polygon ? - A debate|Is circle a Polygon ? - A debate]]======
====== [[Concentric circles|Concentric circles]] ======
====== [[Congruent circles|Congruent circles]] ======
==== Concept #2 Basic terms ====
==== Concept #2 Basic terms ====
====== [[Sector of a circle|Sector of a circle]] ======
====== [[Sector of a circle|Sector of a circle]] ======
====== [[Concentric circles|Concentric circles]] ======
====== Concept #3: Circles and Lines ======
====== [[Secant and tangent of a circle]] ======
====== [[Secant and tangent of a circle]] ======
===== Activities =====
===== Activities =====
* Congruent chords are equidistant from the center of a circle.
* Congruent chords are equidistant from the center 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.
====== [[Perpendicular bisector of a chord passes through the center of a circle]] ======
===== Activities =====
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ======
====== The longest chord passes through the centre of the circle ======
===== Activities =====
====== [[Perpendicular bisector of a chord passes through the center of a circle]] ======
====== The longest chord passes through the centre of the circle ======
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ======
==== Concept #5: Cyclic Quadrilateral ====
==== Concept #5: Cyclic Quadrilateral ====
====== [[Circles and lines activity 7|Properties of cyclic quadrilateral]] ======
====== [[Circles and lines activity 7|Properties of cyclic quadrilateral]] ======
==== Concept #5 Constructions in circles ====
The students should know that tangent is a straight line touching the circle at one and only point.They should understand that a tangent is perpendicular to the radius of the circle.The construction protocol of a tangent.Constructing a tangent to a point on the circle.Constructing tangents to a circle from external point at a given distance.A tangent that is common to two circles is called a common tangent.A common tangent with both centres on the same side of the tangent is called a direct common tangent.A common tangent with both centres on either side of the tangent is called a transverse common tangent.
The students should know that tangent is a straight line touching the circle at one and only point.They should understand that a tangent is perpendicular to the radius of the circle.The construction protocol of a tangent.Constructing a tangent to a point on the circle.Constructing tangents to a circle from external point at a given distance.A tangent that is common to two circles is called a common tangent.A common tangent with both centres on the same side of the tangent is called a direct common tangent.A common tangent with both centres on either side of the tangent is called a transverse common tangent.
