Circle Geometry deals with the measurements and relationships of lines and angles of a circle.
Let’s recap what we have learnt previously:
A circle is the locus of points in a plane that are a fixed distance (the radius) from a fixed point (the centre).
Any line extending from the centre O to any point on the circumference or bounding surface is called a radius. Any two radii have the same length.
Note: The plural form of radius is radii
The chord of a circle is defined as the line segment joining any two points on the circumference of the circle.
A diameter is a chord that passes through the centre of the circle and divides the circle into two equal parts. A diameter consists of two radii joined at their endpoints, therefore, the length of a diameter is twice the radius.
If a chord is not a diameter it divides the circle into two unequal parts, the major segment and the minor segment.
Properties of the Chord of a Circle:
Some important properties of chords of a circle are given below;
(i) A straight line which joins the centre of a circle to the midpoint of a chord, that is not a diameter, is perpendicular to the chord.
(ii) A chord when extended infinitely on both sides becomes a secant
(iii) A chord that is not a diameter divides the circle into two segments, the major segment and the minor segment.
(iv) Chords of a circle, equidistant from the centre of the circle are equal.
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