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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$20 \sqrt{3} \, m$

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.

Similar Questions

$ABCD$ is a cyclic quadrilateral whose diagonals intersect at a point $E$. If $\angle DBC = 70^{\circ}$ and $\angle BAC = 30^{\circ}$,find $\angle BCD$. Further,if $AB = BC$,find $\angle ECD$.

Prove that a cyclic parallelogram is a rectangle.

Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

$AC$ and $BD$ are chords of a circle which bisect each other. Prove that $AC$ and $BD$ are diameters.

In the figure,$ABCD$ is a cyclic quadrilateral in which $AC$ and $BD$ are its diagonals. If $\angle DBC = 55^{\circ}$ and $\angle BAC = 45^{\circ}$,find $\angle BCD$. (in $^{\circ}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module