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For The Mathematically Inclined

Anil Saigal
08/25/2019

Problem 1:
What is the length d of the chord circle of diameter 36 m, if the distance from the center circle is 16 m?


Problem 2:
The base of pool is circle with a radius r = 10 m excluding circular segment that determines chord length 10 meters (See image on side). Pool depth is h = 2m. How many liters of water can fit into the pool?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-082919 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems 08/15/19

Problem 1:
The average age of 5 sisters is 45. The average age of the three younger sisters is 42 and the average age of the three older sisters is 49. That is their median age. 


Problem 2:
In  the above problem what is the maximum possible age of the oldest sister? 


Congratulations to Ramachandran Balakrishna and Bharath Venkataraman who were the winners of the last set of puzzles.



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