A circular park of radius $20 m$ 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.

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Solution

Since the boys are sitting equidistant on a circular boundary they can be thought of as inscribing an equilateral triangle in the given circular park

It is known that the side of such an equilateral triangle is related to the circum-radius as follows:

$a = r \sqrt{3}$

$\Rightarrow 20 \sqrt{3} m$

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Q. Question 6
A circular park of radius 20 m 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.

Q. 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.

A circular park of radius 20 m 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 hand to talk to each other. Find the length of the string of each phone.

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A circular park of radius 20 m 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.

Since the boys are sitting equidistant on a circular boundary they can be thought of as inscribing an equilateral triangle in the given circular parkIt is known that the side of such an equilateral triangle is related to the circum-radius as follows:a=r√3⇒20√3 m

A circular park of radius $20 m$ 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.

Since the boys are sitting equidistant on a circular boundary they can be thought of as inscribing an equilateral triangle in the given circular park

It is known that the side of such an equilateral triangle is related to the circum-radius as follows:

$a = r \sqrt{3}$

$\Rightarrow 20 \sqrt{3} m$