The equation of the given circle is (x+6)² + (y-2)² =10 or x² + y²+ 12x -4y +30 = 0
Explanation:
Step 1 :
Center of the given circle = (-6,2)
Radius = √10 units
We need to find the equation of this circle.
Step 2 :
Circle's equation with center at (h,k) and radius of r units is given by
(x-h)² + (y-k)² = r²
So substituting the above values
we have
(x-(-6))² + (y-2)² = (√10)²
(x+6)² + (y-2)² =10
Simplifying ,this can be written as
x² +36 + 12x + y² + 4 -4y =10
x² + y²+ 12x -4y +30 = 0
Step 3 :
Answer :
The equation of the given circle is (x+6)² + (y-2)² =10 or x² + y²+ 12x -4y +30 = 0