Equation of a Circle | MathHelp.com - By MathHelp.com
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| 00:0-1 | Here were asked to write the equation of a circle | |
| 00:03 | with center -2 , 7 and radius five . Remember | |
| 00:08 | from the previous example that the formula for the equation | |
| 00:12 | of a circle is Princes X minus H squared plus | |
| 00:17 | Prince sees y minus K squared equals r squared where | |
| 00:22 | H . K . Is the center of the circle | |
| 00:26 | and R is the radius . And in this problem | |
| 00:30 | , Since we're given that the center is -27 which | |
| 00:34 | represents Hk And the radius is five which represents our | |
| 00:41 | we simply plug these values into the formula and we | |
| 00:45 | have x minus Parentheses -2 Squared plus why minus parentheses | |
| 00:55 | ? Seven squared Equals parentheses five squared . notice that | |
| 01:02 | I changed the parentheses that were in the original Formula | |
| 01:05 | two brackets so that we wouldn't have too many sets | |
| 01:09 | of parentheses when plugging our values into the formula . | |
| 01:14 | Finally , we simplify inside the brackets . X minus | |
| 01:19 | and negative two simplifies to X plus two . So | |
| 01:24 | we have parentheses X plus two squared plus . Prince | |
| 01:29 | sees why minus seven squared equals five squared or 25 | |
| 01:35 | . Notice that I changed the brackets back to parentheses | |
| 01:39 | in the final answer . So the equation of a | |
| 01:43 | circle was center -27 and Radius five is Prince sees | |
| 01:50 | X plus two squared plus . Prince sees why minus | |
| 01:54 | seven squared equals 25 . Notice that the negative to | |
| 01:59 | positive seven in our given center becomes a positive to | |
| 02:05 | negative seven in our answer , And don't forget to | |
| 02:09 | square the radius of 5 to get 25 . |
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