Mathematics, 30.07.2020 02:01 cjs39
A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures $90$ degrees:
[asy]
unitsize(0.35inch);
defaultpen(black+1);
void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c, darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*frac t),cos(2*pi*fract))..ctr+(sin(pi*fr act),cos(pi*fract))..cycle);
draw(s);
fill(s, yellow);
for(int i=0;i
draw((ctr+(sin(2*pi*i/slices),cos(2 *pi*i/slices))--ctr),red+0.75);
};
label(lbl, ctr+(0,-1),S);
}
pie((0,0),0.25,0,"");
[/asy]
If Larry eats the slices in order from the largest to the smallest, then the number of degrees spanned by a slice decreases at a constant rate. (So the second slice is smaller than the first by a certain number of degrees, then the third slice is smaller than the second slice by that same number of degrees, and so on.)
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