Introduction for chord study:
As used in math, the word chord refers to a straight line strained between two points on a circle, generally on any curve. The first trigonometric table is called as the table of chords. In modern times, the sine is used in its place (sine & chords are closely connected), but perhaps, chords are more spontaneous.
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Properties of a Chord study:

 

For example, Consider a sector AOB in the diagram shows the curve connecting A to B to be an arc of a circle. The straight line drawn to connect AB is the chord. Of course, study the length of the chord relies on the radius of the circle; in fact, it is proportional to the radius of the circle.
There are two formulas given to study about chord find the length of the chord. Choose any one based on what you are given with,
1. Given the radius and central angle
The formulae given below is used to find the length of the chord,
Chord length = 2r sin(c/2)
Where,
r, radius for circle,
c, angle at  center to chord
Sin is the trigonometric function.
2. Given the radius and distance to center
The formula is given below for chord length we know radius and perpendicular distance from chord length to circle.
from pythagoras' Theorem
Chord length =2 √(r2-d2)
Where,
r, radius for circle
d, is the perpendicular distance from  chord to study the center of circle.
 

Steps to find the chord length:

 

There are two formulas given to study the and find  length of the chord,. Choose any one based on what you are given with,
1. Given the radius and central angle
The formulae given below is used to find the length of the chord,
Chord length = 2r sin(c/2)
Where,
r, radius for circle,
c, angle at the center to chord
Sin is the trigonometric function.
2. Given the radius and distance to center
The formula is given below for chord length we know radius and perpendicular distance from chord length to circle.
(From Pythagoras' Theorem)
Chord length =2 √(r2-d2)
Where,
r is the radius of the circle
d is the perpendicular distance from the chord to center of the circle.