Question

a circular park of radius 40m is situated in a colony. three boys ankur .amit .and anand ​

Answer 1

Length of wire of Walky talky = 120√3 in a circular park of radius 40m

Step-by-step explanation:

Three boys sitting at Equal distance on Circle

Let say point A , B  & C

AB = BC = AC

AB + BC + AC = Circumference

=> AB = BC = AC = Circumference /3

Each arc would have 360/3 = 120° angle subtended at center

=> Angle subtended at circle = 120/2 = 60°

=> ABC is an equilateral Triangle

Let say AB = BC = AC = x

Lets draw AD ⊥ BC

as its an equilateral triangle it would pass through O center

AD²  = x² - (x/2)²

=> AD = √3 x /2

 

OB² = (AD - AO)² + (BD)²

=> R² = (√3 x /2 - R)²  + (x/2)²

=> x = √3R

AB = BC = AC = 40√3

Length of Wire = 3 *  40√3 = 120√3

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