determine the equation of the circle graphed below
Answer:
(x - 6)²(y - 3)² = 3²
Step-by-step explanation:
The formula for the equation of a circle is: (x - a)²(y - b)² = r², where a and b is the coordinate of the centre of the circle and r is the radius (distance from the centre to the circumference of the circle).
The centre of this circle is (6,3).
Substitute these values into the equation.
(x - 6)²(y - 3)² = r²
To find the radius you do this: bigger x-value - smaller x-value
9 - 6 = 3 (radius = 3²)
Hence the equation is: (x - 6)²(y - 3)² = 3²