Class 9 Math All topics Circles
Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is each, what is the distance between Reshma and Mandip?
Solution: 

Let the three girls Reshma, Salma and Mandip are standing on the circle of radius cm at points and respectively.

Here, chord chord .

center lies on bisector of i.e. ray

Now, m. 
Let chord

       ....perpendicular from center to the chord, bisects the chord.

In ,

          ....Pyhtagoras theorem

       ... (1)

In the

        ....Pythagoras theorem


          ... (2)

From (1) and (2) , we get






Putting in (1) we get


 m

 m
Hence, the distance between Reshma and Mandip m


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Similar topics
introduction to trigonometry
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Connecting you to a tutor in 60 seconds.
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introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
surface areas and volumes
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