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What is the Chord of a Circle?

A line segment, which joins any two points on the circle’s circumference, is known as a chord of the circle. Diameter is the largest chord which passes through the centre of the circle.

Let us consider a circle, which has AB as diameter, CD is the chord of the circle and OE is the radius. See the figure below.

Let us see now the different theorems on circle.

In Class 9, students will come across the basics of the circles. Here, we will learn different theorems based on the circle’s chord. The theorems will be based on these topics:

Angle Subtended by a Chord at a Point
The perpendicular from the Centre to a Chord
Equal Chords and Their Distances from the Centre
Angle Subtended by an Arc of a Circle
Cyclic Quadrilaterals
Theorem :

“The opposite angles in a cyclic quadrilateral are supplementary.”

Proof- https://www.letxclasses.com/20....20/02/circle-theorem

https://www.letxclasses.com/2020/02/circle-theorems-and-proofs-5-opposite.html
https://www.letxclasses.com/2020/02/circle-theorems-and-proofs-5-opposite.html
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