Area and Circumference of a Circle | MathHelp.com - By MathHelp.com
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| 00:0-1 | The circumference of a circle is 20 pie . Find | |
| 00:04 | the radius and the area of the circle to find | |
| 00:09 | the radius of the circle . Remember that the formula | |
| 00:12 | for the circumference of a circle is two pi R | |
| 00:17 | . Yeah , yeah , where R represents the radius | |
| 00:23 | of the circle . And since we're given that the | |
| 00:26 | circumference of our circle is 20 pie , We can | |
| 00:31 | set up the equation 20 pie Equals two Pi R | |
| 00:40 | . Now to solve for R we divide both sides | |
| 00:44 | of the equation by two pi . Yes , yeah | |
| 00:50 | , on the right side the two's cancel and the | |
| 00:54 | pies cancel . And we're left with are and on | |
| 00:58 | the left side the pies cancel and 20 divided by | |
| 01:03 | two is 10 . So we have 10 equals r | |
| 01:10 | . So the radius of the circle is 10 . | |
| 01:15 | Now to find the area of the circle , remember | |
| 01:18 | that the formula for the area of a circle is | |
| 01:22 | pi r squared . and since the radius of our | |
| 01:28 | circle is 10 We have pie times 10 squared Or | |
| 01:37 | 100 Pie . So the area of the circle is | |
| 01:44 | 100 pie |
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