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Chord of a Circle Calculator
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 Chord of a circle is nothing but the length of the line containing the two end points that lie on the circle.

## Steps for Calculating Chord of a Circle

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Step 1 :

Formula for chord length = 2 $\sqrt{r^2 - d^2}$

r = radius of the circle.

d = perpendicular distance from the chord to the circle center.

from the chord of the circle to its center.

Step 2 :

Put the values in the formula and find chord of a circle.

## Examples for Chord of a Circle Calculator

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1. ### Find the chord of a circle where radius is 8 cm and perpendicular distance from chord to center is 6 cm?

Step 1 :

Given:

Radius of the circle (r) = 8 cm.

Perpendicular distance from chord to center (d) = 6 cm.

Chord of a circle = ?

Formula:

Chord of a circle = 2 $\sqrt{r^2 - d^2}$

Step 2 :

Put the values in the formula,

Chord of a circle = 2 $\sqrt{8^2 - 6^2}$.

Chord of a circle = 2 $\sqrt{64 cm^2 - 36 cm^2}$.

Chord of a circle = 2 $\sqrt{28}$.

Chord of a circle = 2 * (5.292).

Answer  :

Chord of a circle = 10.584

2. ### Find the chord of a circle where radius is 5 cm and perpendicular distance from chord to center is 2 cm?

Step 1 :

Given:

Radius of the circle (r) = 5 cm.

Perpendicular distance from chord to center (d) = 2 cm.

Chord of a circle = ?

Formula:

Chord of a circle = 2 $\sqrt{r^2 - d^2}$

Step 2 :

Put the values in the formula,

Chord of a circle = 2 $\sqrt{5^2 - 2^2}$.

Chord of a circle = 2 $\sqrt{25 cm^2 - 4 cm^2}$.

Chord of a circle = 2 $\sqrt{21}$.

Chord of a circle = 2 * (4.583).

Answer  :

Chord of a circle = 9.166

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