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Chapter - 18

Chord Properties Of a Circle

Circle : A closed curve traced out by a moving point, at a fixed distant from a fixed point is called a circle. The fixed point is called the centre, the fixed distance is called the radius. The path traced out is called the circumference.

In the figure along side, O is the centre, OP is the radius and APBD is the circumference.

A straight line terminating at both ends by the circumference is called a chord.

A chord passing through the centre is called the diameter.

A diameter divides a circle into two equal parts called a semi-circle.

A chord divides a circle into two parts called segments of the circle, the smaller is minor segment and larger is major segment.

An arc is a part of the circumference of a circle. CQD is an arc. An arc less than a semi-circle is called minor arc. The other part left out is called the major arc.

A secant is a line which intersects the circle at two points. DE is a secant.A tangent to the circle is a line which touches the circle at one and only one point.