perplexus.info :: Just Math : Evaluate area

Evaluate area (Posted on 2024-03-28)

Given a 1*1 square.
Find the area of the subset of points that are closer to its center than to any of the square’s sides.

No Solution Yet Submitted by Ady TZIDON

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Monte Carlo method

| Comment 2 of 3 |

(In reply to solution by Charlie)

hit=0;

for trial=1:10000000

x=rand-.5;

y=rand-.5;

s=[x+.5 .5-x y+.5 .5-y norm([x y])];

s2=find(s==min(s));

if s2==5

hit=hit+1;

end

hit/trial

finds

ans =

0.2189057

agreeing with the analytic answer.

Posted by Charlie on 2024-03-28 19:53:08

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