|
Graphs
Of Circles
|
| Lesson 1 |
| Problem: Write the equation of a circle that has a center at (-2, 4) and a radius of 2? |
| Step 1:
The equation of a Circle is: (x - h)2 + (y - k)2 = r2;
where coordinate of the center of the circle is (h, k) and r is radius. |
| Step 2: |
| The equation of given circle is [x - (-2)] 2 + (y - 4)2 = (2)2; |
| Step 3: |
| The answer is: (x +2)2 + (y - 4)2 = 4 |
| Try two practice problems. Do the following: |
| A. Write the equation of a circle whose diameter is 16 and whose center is at (2, 8)? |
| B. What are the coordinates of the center of this circle? (x + 5)2 + (y - 7)2 = 25. |
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