jjuice's blog

Cover An Arc
By jjuice, history, 10 years ago, In English

I was trying to solve a problem which involved covering a given arc by minimal side of a square. I came to the conclusion that I had to write the equation of the arc, however it posed a great deal of difficulty to me. Kindly help. Thank you

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10 years ago, hide # |
 
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Lets say the points have coordinates (x1,y1),(x2,y2),(x3,y3).
Assume, center of circle has coordinates (x0,y0) and radius r. Now, as the points are on circle,
(x0-x1)^2 + (y0-y1)^2 = r^2
(x0-x2)^2 + (y0-y2)^2 = r^2
(x0-x3)^2 + (y0-y3)^2 = r^2 Now try to do something with these equations.

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