Write the equation in standard form for the circle passing through (6, 6) centered at the
origin

x² + y² = 72

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)

r =

  =

  =

  =

Thus

x² + y² = ( )² , that is

x² + y² = 72 ← equation of circle

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3