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For The Mathematically Inclined

Anil Saigal
05/22/2019

Problem 1:
There is given a circle K with a radius r = 8cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area?

Problem 2:
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.




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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-052319 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. 

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Problems - 05/09/19

Problem 1
Cyclist goes uphill 10 km for 50 minutes and downhill minutes for 29 minutes, both applied to the pedals same force. How long does he to take to cover 10 km on flat land?

Problem 2
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07

Congratulations to Meena Kaushik who was the winner of the last set of puzzles. 



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