A chord of a circle is a straight line segment whose endpoints both lie on the circle. A line that joins two points on the circumference of a circle is called a chord. A chord that passes through a circle's centre point is the circle's diameter. Every diameter is a chord, but not every chord is a diameter. We shall now see few theorems related to the chords.
Chord Properties Of Circles
1. A circle is a locus of a point which moves in a plane in such a way that its distance from a fixed point in the same plane always remains a constant
1. The fixed point is called the center of the circle
2. The constant distance is called the radius of the circle
3. The perimeter of the circle is called its circumference
2. The line segment joining any two points on a circle is called a chord of the circle.
A chord of a circle passing through its center is called a diameter of the circle. Thus, length of diameter=2 X Radius
Cyclic Properties of Circle
- When a quadrilateral is inscribed in a circle i.e the vertices of the quadrilateral lie on the circumference of a circle; the quadrilateral is called a cyclic quadrilateral.
- The points, which lie on the circumference of the same circle are called concylic points.