# Circle chord

What is the length x of the chord circle of diameter 115 m, if the distance from the center circle is 11 m?

Result

x =  112.876 m

#### Solution:

$D=115 \ \text{m} \ \\ t=11 \ \text{m} \ \\ \ \\ r=D/2=115/2=\dfrac{ 115 }{ 2 }=57.5 \ \text{m} \ \\ \ \\ \ \\ (x/2)^2 +t^2=r^2 \ \\ \ \\ (x/2)^2=r^2 - t^2 \ \\ \ \\ x=2 \cdot \ \sqrt{ r^2-t^2 }=2 \cdot \ \sqrt{ 57.5^2-11^2 } \doteq \sqrt{ 12741 } \doteq 112.876 \doteq 112.876 \ \text{m}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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