Chord of a Circle Calculator

A circle is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.

What is Chord of a Circle Calculator?

'Chord of a Circle Calculator' is an online tool that helps to calculate the length of the chord for a given radius and distance. Online Chord of a Circle Calculator helps you to calculate the length of the chord in a few seconds.

NOTE: Enter the values up to three digits only.

How to Use Chord of a Circle Calculator?

Follow these steps which will help you to use the calculator.

• Step 1: Enter the radius and distance in the given input box.
• Step 2: Click on the "Calculate" button to find the length of the chord.
• Step 3: Click on the "Reset" button to clear the fields and enter the new values.

How to Find Chord of a Circle?

A chord of a circle is defined as any line segment joining two points on the circumference of the circle. The formula to calculate the length of the chord is given by:

Where 'r' is the radius of the circle and 'd' is the perpendicular distance from the center of the circle.

Solved Example:

Find the length of the chord if the radius is 8 units and distance is 7 units.

Solution:  

Given: Radius(r) = 8 units and distance(r) = 7 units

Length of the chord = 2 × √(r² − d²)

= 2 × √(8² − 7²)

= 2× √(64 - 49)

= 7.746 units

Similarly, you can try the calculator to find the length of the chord of the circle for:

• Radius = 10 units and distance = 7 units
• Radius = 17 units and distance = 9 units