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