# 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:

**Length of the chord = 2 × √(r ^{2} − d^{2})**

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 × √(r^{2} − d^{2})

= 2 × √(8^{2} − 7^{2})

= 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