A circular park of radius 20 , m is situated | vedclass

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(C) Let the positions of Ankur,Syed,and David be $A, S,$ and $D$ respectively on the circle with center $O$ and radius $20 \, m$.Since they are sittin

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$20 \sqrt{3} \, m$

Vedclass · Answer

(C) Let the positions of Ankur,Syed,and David be $A, S,$ and $D$ respectively on the circle with center $O$ and radius $20 \, m$.Since they are sitting at equal distances,$\Delta ASD$ is an equilateral triangle.Let the side length of the equilateral triangle be $a$.In an equilateral triangle,the circumradius $R$ is given by $R = \frac{a}{\sqrt{3}}$.Given $R = 20 \, m$,we have $20 = \frac{a}{\sqrt{3}}$.Therefore,$a = 20 \sqrt{3} \, m$.The length of the string of each phone is the side length of the equilateral triangle,which is $20 \sqrt{3} \, m$.

$A$ circular park of radius $20 \, m$ is situated in a colony. Three boys Ankur,Syed and David are sitting at equal distances on its boundary,each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.

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