# Q: 6     A circular park of radius is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

Given: In the figure, A,S,D are positions Ankur, Syed and David respectively.

So, AS = SD = AD

Radius of circular park = 20 m

so, AO=SO=DO=20 m

Construction : AP SD

Proof :

Let AS = SD = AD = 2x cm

In ASD,

AS = AD   and     AP SD

So,  SP = PD = x cm

In OPD, by pythagoras,

In APD, by pythagoras,

Squaring both sides,

Hence, length of string of each phonem

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