Chord of a Circle Calculator
A circle is one of those figures that has different names for all lines drawn inside its boundary. A chord is also one of those lines that are related to a circle. Drawing a chord is pretty simple unless you have to find its length first. If you are asked to measure the length of a chord before drawing it, you may feel difficulty.
It is because you may not know how to do this. Whether you don’t know or want to learn how to measure the length of a chord of a circle, you should use this chord of a circle calculator. This calculator will assist you in measuring the length quickly within seconds and with accuracy. Also, you will be able to understand how you can manually calculate this length after learning from this calculator.
Table of Contents
What is Chord of a Circle?
As mentioned above, every line in a circle has a specific name as per its properties. A chord of a circle is a specific line that touches two points on the circumference of the circle without passing through its center. This line is drawn inside the circle and touches the points internally.
A chord can be drawn anywhere in the circle instead of sticking to the upper, lower, right, or left portion. It doesn’t matter in which region a line has been drawn but the thing matters are that this line won’t touch or pass by the center of the circle.
Chord of a Circle Formula
Every Mathematic student knows that we can find measurements using a specific formula. Similarly, a general formula to find the chord of a circle is given by,
Chord length = 2 √r2 - d2
Here:
- r stands for the radius of the circle.
- d stands for the perpendicular distance of a point on the circumference from the center.
Doesn't matter whether you are using a Math calculator or finding this measurement manually, you need to follow this formula. It is pretty simple to do this if you know the basic mathematical operations involved in the above equation.
Example of Chord of Circle
To let you understand properly how to find the length of a chord of a circle, we have solved an example here. Lets have a look at how to do this calculation.
Example 1:
Find the chord of a circle having a measurement of radius 15 while the perpendicular distance is 9.
Solution:
To find the length of the chord of the circle with these measurements, we have to put these values in the following formula.
Chord length = 2√r2 - d2
= 2√(15)2 - (9)2
= 2√225 - 81
= 2√144
= 2 (12) cm
= 44 cm
It means that the length of a chord of a circle with these specific data will be 44 cm. Doesn't matter whether you use a chord of a circle calculator or do it manually, the process will remain the same. The only difference is that the calculator will perform calculations at the backend and show you the answer only.
How to use the chord of a circle calculator?
Here are the steps to follow for using this calculator by Calculator's Bag:
- Enter the measurement of the radius
- Enter the measurement of perpendicular distance
- This calculator will perform calculations instantly and show you the final answer
FAQ | Chord of a circle
How do you find the chord of a circle?
To find the length of the chord of a circle, you need to follow this formula,
Chord length = 2r2 - d2
How do you find the chord of a circle with the diameter?
The diameter is also a specific type of chord but we can't find the length of any chord using this measurement. We need to convert the length of the diameter into its radius and then find the length of the chord.
How do you identify a chord in a circle?
In a circle, any line that touches two points on the circumference without passing through the center will be called a chord.
