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
# | User | Rating |
---|---|---|
1 | tourist | 4009 |
2 | jiangly | 3823 |
3 | Benq | 3738 |
4 | Radewoosh | 3633 |
5 | jqdai0815 | 3620 |
6 | orzdevinwang | 3529 |
7 | ecnerwala | 3446 |
8 | Um_nik | 3396 |
9 | ksun48 | 3390 |
10 | gamegame | 3386 |
# | User | Contrib. |
---|---|---|
1 | cry | 167 |
2 | Um_nik | 163 |
3 | maomao90 | 162 |
3 | atcoder_official | 162 |
5 | adamant | 159 |
6 | -is-this-fft- | 158 |
7 | awoo | 157 |
8 | TheScrasse | 154 |
9 | Dominater069 | 153 |
9 | nor | 153 |
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
Name |
---|
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.