By using the equation below complete the square, write the equation of the circle in standard form from the following equation. Then determine the center and radius of a circle.

10y + x2 = -18+ 5x - y2

Given:

The equation of a circle is

To find:

The center and radius of the given equation by completing the square.

Solution:

The standard form of a circle is

           ...(i)

where, (h,k) is center and r is radius of the circle.

We have,

It can be written as

         ...(ii)

On comparing (i) and (ii), we get

Therefore, the center is and the radius is units.

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

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