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What are the properties of chords of a circle?
How to find the length of the chord of a circle?
What is the longest chord of a circle?
What is the chord of a circle?
The chord of a circle refers to a straight line joining two points on the circumference of the circle. The longest chord in a circle is its diameter which passes through its center. How to Find the Chord of Circle? Any line segment whose endpoints are on the circumference of the circle is the chord of that circle.
- Chord of A Circle Definition
- Chord Length Formula
- Solved Examples
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The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle. The figure below depicts a circle and its chord. In the given circle with ‘O’ as the center, AB represents the diamet...
There are two basic formulas to find the length of the chord of a circle which are: Where, 1. r is the radius of the circle 2. c is the angle subtended at the center by the chord 3. d is the perpendicular distance from the chord to the circle center
Example 1: A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in the major segment. Solution: Let O be the centre, and AB be the chord of the circle. So, OA and OB be the radii. Given that chord of a circle is equal to the radius. AB = OA = OB Thus, ΔOAB is an equilateral triangle. That means ∠AOB = ∠OBA =...
Learn what a chord of a circle is, how to calculate its length using two formulas, and how to apply three theorems related to chords and angles. See solved examples and video on chords of a circle.
- 5 min
Aug 3, 2023 · What is a Chord of a Circle. The chord of a circle is a straight line joining two points on the circumference of the circle. The diameter that passes through the center of the circle is the longest chord of the circle. Shown below are 3 chords AB, CD, and EF.
Among properties of chords of a circle are the following: Chords are equidistant from the center if and only if their lengths are equal. Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.
Learn what a chord of a circle is, how to find its length using different formulas, and the properties of chords. See examples of chords and their applications in geometry and trigonometry.
- 30 min
Learn how to use the circle theorem that the perpendicular from the centre of a circle to a chord bisects the chord. Find missing lengths and angles using cosine and sine ratios with examples and worksheets.
Learn what a chord of a circle is, how to find its length, and how to apply it in geometry and real life. Explore the properties, theorems, and formulas of chords with illustrative examples and practice problems.
