**How To Find The Center And Radius Of The Circle** – This lesson looks at how to write the equation of a circle in standard form to find the center and radius of a circle.

In some cases, you may need to complete the square twice to write the circle equation in standard form. Once is ???x??? and once is ???y???.

Contents

## How To Find The Center And Radius Of The Circle

Convert the circle equation to standard form and find the center and radius in standard form.

## Help Finding Center And Radius Of The Circle

To get the equation into standard form, we need to complete the square of both variables.

To perform the squaring, we need to take the coefficients of the linear terms, divide them by ???2???, and then square the result before adding it to both sides.

So add “144” to the parentheses containing the “x” term, add “25” to the parentheses containing the “y” term, and add: ???144??? and ???25??? to the right ???-160???.

In some cases, you may need to complete the square twice, once for x and once for y, to write the equation of the circle in standard form.

### Week 8: Find The Center And The Radius Of The Circle Given Its Equation. Equation In General Form Center

To get the equation into standard form, we need to complete the square with respect to ?x???. The term ?y??? is already a perfect square.

The next step is to remove the quadratic coefficients of the variables ‘x’ and ‘y’. First subtract ???6???, then divide both sides by ???6???.

To perform the squaring, we need to take the coefficient of the linear term, divide it by ???2???, and then square the result before adding it to both sides.

Center of circle ???(h, k)??? is ???(-1, 0)??? and the radius is ???sqrt???. Omit ???-sqrt??? because the radius cannot be negative.

## Write The Equation For A Circle Graph

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### Solved] Find The Center And Radius Of The Sphere For This Equation…

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### Solved Find The Center And Radius Of The Circle. Write The

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## Solved Find The Center And Radius Of The Sphere. (x + 9)2 +

Equation of a circle ( x − h) + ( y − k ) 2 2 =r Center: ( h, k ) Radius: r 2 How to find the center and radius of a circle considering the general form 1. General form If we consider the shape, group the x and y terms and move the constant to the other side. 2. Complete the rectangle with the x-joint – Remember that what you do on one side must also be done on the other side. 3. Complete the square on the y-joint – remember that everything you do on one side must also be done on the other side. Example: Find the lengths of the center and radius: x + y − 10 x + 8 y − 8 = 0 2 2 ( x 2 − 10 x) + ( y 2 + 8 y) = 8 group terms ( x 2 − 10 x + _ ) + (y 2 + 8 y + _) = 8 + _ + _ Complete the square ( x 2 − 10 x + 25) + ( y 2 + 8 y + 16) = 8 + 25 + 16 ( x − 5 )2 + (y + 4)2 = 49 ( x − 5)2 + ( y − (−4))2 = (7)2 Center: (5, −4) Radius Length Sa: 7 Try! !: Calculate the center and radius lengths: x 2 + y 2 + 6 x − 12 y + 20 = 0 ( x 2 + 6 x) + ( y 2 − 12 y) = −20 ( x 2 + 6 x + 9) + ( y 2 − 12 y + 36) = −20 + 9 + 36 ( x + 3) 2 + ( y − 6) 2 = 25 ( x − (−3 )) 2 + ( y − 6 ) 2 = ( 5) 2 Center: ( −3, 6) Radius: 5 Name: Description …

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### Illustrates The Center Radius Form Of The Equation Of A Circle

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