Name:__________________________________________Date:________________Period:______________ Math 2+ Lesson 10.8: Writing the Equation of a Circle from General to Standard Form Sometimes you may see a circle equation and not know it! Because it may not be in the neat "Standard Form." (x – h) 2 + (y – k) 2 = r 2 with Center (h, k) and radius r For example: Expand (x - 1) 2 + (y - 2) 2 = 3 2 "General Form of the Equation of a Circle" x 2 + y 2 + Ax + By + C = 0 How do we get the "Standard Form of the Equation of a Circle?" (x – h) 2 + (y – k) 2 = r 2 We need to __________________________. Examples Write the equation of the circle in standard form, find the center and the radius and graph it. x 2 + y 2 + 8x - 10y - 8=0 4x 2 - 16x + 4y 2 - 24y + 16=0 x 2 + 6x + y 2 + 5=0
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Name:__________________________________________Date:________________Period:______________
Math 2+ Lesson 10.8: Writing the Equation of a Circle from General to Standard Form
Sometimes you may see a circle equation and not know it!
Because it may not be in the neat "Standard Form." (x – h)2 + (y – k)2 = r2 with Center (h, k) and radius r
For example: Expand (x - 1)2 + (y - 2)2 = 32
"General Form of the Equation of a Circle" x2 + y2 + Ax + By + C = 0 How do we get the "Standard Form of the Equation of a Circle?" (x – h)2 + (y – k)2 = r2 We need to __________________________.
Examples
Write the equation of the circle in standard form, find the center and the radius and graph it.
x2 + y2 + 8x - 10y - 8=0 4x2 - 16x + 4y2 - 24y + 16=0
x2 + 6x + y2 + 5=0
CLASSWORK Write the equation of the circle in standard form, find the center and the radius and graph it.
Write the equation of the circle in standard form, find the center and the radius.
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