perplexus.info :: Just Math : Pie Pieces

Pie Pieces (Posted on 2014-12-24)

Each of M and N is a positive integer. Find the minimum value of M+N such that:

(A) abs(pi/e – M/N) < 10^-3
(B) abs(pi/e – M/N) < 10^-4

*** abs(x) denotes the absolute value of x.

*** e denotes the Euler's number .

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The two answers are: (A) 37/32 with M+N being 69, and:
(B) 141/122 with M+N being 263.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solutions by 2 methods, computer aided	Charlie	2014-12-24 14:00:42
(A) ONLY	Ady TZIDON	2014-12-24 12:22:00

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