Introduction to length of the chord of the circle:

In the chord of a circle is the line segment, the ending points of the circle. Intersect the middle of the circle is the diameter of the circle. A line include the chord of the circle is calling as the secant of that circle. It is necessary to find out chord's length, the middle of the chord, and radius of circles is given.

 

Instruction to find the length of the chord of the circle:

 

We known radius of the circle and chord of the distance to the middle of the circle, if we easy to calculate the chord length.

this circle is used to calculating the chord length

Step 1: Find the condition for our calculation. The chord PQ of a circle has the point P and Q point as the end points. The point c is the center of the circle and r is the circle radius.

Step 2: To find out the length of the chord using center angle and circle radius. Angle ACD is the central angle of the chord. 2r sin(c/2) is the length of the chord AB.

to calculate the middle point using radius and distance

Step 3: The radius of the circle is 4 and the angle is the 60 degrees to calculate the length. Substitute the value for the formula:

2r (sin (c`-:` 2)

=2`xx` 4 sin (60 degree`-:` 2)

=8sin (30 degrees)                                                        

=8(1`-:` 2) =4.

Step 4: To calculate the length of the chord using the circle radius and the distance. The d is the distance of the length and c has the center.

the distance is representas the d and the radius is denoted as the r

Given the length of the chord is the `2(r^(2)-d^(2))^((1)/(2))`

 

more Instruction to find the length of the chord of the circle:

 

To calculate the length for circle the radius 7 that is 4 units from the middle.

`2(r^(2)-d^(2))^((1)/(2))`

`=2(7^(2)-5^(2))^((1)/(2))`

`=2(49-25)^((1)/(2))`

`=2(24)^((1)/(2))`

`=2xx5`

`=10`