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From Karnataka Open Educational Resources
→Chord length and distance for centre of the circle
====== [[Introduction to chords]] ======
====== [[Introduction to chords]] ======
A chord is the interval joining two distinct points on a circle. This activity investigates formation of chord and compares with the diameter of the circle.
====== [[Secant and tangent of a circle]] ======
====== [[Secant and tangent of a circle]] ======
A tangent is a line touching a circle in one point. A secant is the line through two distinct points on a circle.
===== Concept #4: Theorems and properties =====
===== Concept #4: Theorems and properties =====
====== [[Chord length and distance for centre of the circle]] ======
====== [[Chord length and distance for centre of the circle]] ======
For a chord the distance from the center is the perpendicular distance of the chord such that it passes through the center.
====== [[The longest chord passes through the centre of the circle]] ======
====== [[The longest chord passes through the centre of the circle]] ======
Investigating the diameter is the longest chord of a circle.
====== [[Perpendicular bisector of a chord passes through the center of a circle]] ======
====== [[Perpendicular bisector of a chord passes through the center of a circle]] ======
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ======
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the center of a circle]] ======
