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For The Mathematically Inclined

Anil Saigal
02/27/2012

PROBLEM # 1
In how many ways, counting ties, can eight horses cross the finishing line?


PROBLEM # 2
Find the area of the largest semicircle that can be inscribed in the unit square.

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-030112 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 from 2/16/12

PROBLEM #1
A simple figure has n sides. What is the sum of interior angles of the figure?

SOLUTION 1
180 x (n-2) degrees.

PROBLEM #2
What is Cos(3t) in terms of Cos(t)?

SOLUTION 2

4 (Cosθ)^3  -  3 Cosθ.

Congratulations to Kishore Balsara, who was the winner of the last set of puzzles.



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