To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)
Top

Chord of a Circle Calculator
Top

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

Chord of a circle

 

Steps for Calculating Chord of a Circle

Back to Top
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

Back to Top
  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



*AP and SAT are registered trademarks of the College Board.