subject: Chord Of A Circle [print this page] A segment that joins two different points on a circle is called a chord. The section of a secant is bounded by the circle is known as a chord, and there is a longest chords that are passed through the centre, and it is called diameters and it is divided into two radii. The area of a circle slash off by a chord is called a circle segment. To define a chord for the circle is an arithmetical line segment in which the endpoints lie on the circumference of the circle. A secant is the line which is an extension of a chord.
More to Define Chord of a Circle:
More to define chord of a circle:
A chord is a line section that attaches two points on a curve. While considering in geometry, a chord is frequently used to illustrate a line segment connecting two endpoints that lies on a circle. A circle has a lot of different chords. Various chords go by through the center and some do not pass through the center. A chord that goes through the center is called a diameter.
This is an example for the chord of a circle.
chord
This is an example for several chords can located in a circle.
chord
Properties of chord of a circle:
If Chords are equidistant that is starting from the center. Then their lengths are equal.
A chord's of a circle perpendicular bisector goes through the centre.
->Chords equidistant from the centre of a circle are equal.
->Equal chords are equidistant from the centre.
->A line from the centre, perpendicular to a chord, bisects the chord.
->The line segment drawn from the centre to the midpoint of the chord is perpendicular to the chord.
->The right bisector of a chord passes through the centre of a circle.
->The line drawn perpendicular to the end point of a radius is a tangent to the circle.
->A line drawn perpendicular to a tangent at the point of contact with a circle passes through the centre of the circle.
->Tangents drawn from a point of outside the circle are equal in length.
->Two tangents can always be drawn from a point outside of the circle.
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Examples to define chord of a circle:
Let us consider the circle shown in the figure, CD and AB are the chords with their endpoints A, B and C, D respectively that is lying on the circle.
chord
Problem1:
Calculate the length of the longest chord for the circle having radius 6cm:
Solution:
Step 1: Let us know that the longest chord for a circle is called as diameter.
Step 2: So the length for the longest chord for a circle is '12cm' .
Problem 2:
What is the length of the chord shown in the figure
chord
Solution :
Step 1: Let the chord of a circle is AB.
Step 2: We know that the radius of the bisector to chord is 5cm.
Step 3: Then the length of the chord is = 5 + 5 = 10cm.
