Write an equation for the circle that satisfies each set of conditions.
Center (7,7), passes through (12,9)
+23254 The formula for the equation of a circle is (x - a)2 + (y - b)2 = c2.
The center is at (a, b), the radius is c.
To find the radius, use the distance formula from (7,7) to (12,9):
r = √[ (x2 - x1)2 + (y2 - y1)2 ] = √[ (12 - 7)2 + (9 - 7)2 ] = √[ (5)2 + (2)2 ] = √29
Putting this all together: (x - 7)2 + (y - 7)2 = (√29)2 ---> (x - 7)2 + (y - 7)2 = 29
+23254 The formula for the equation of a circle is (x - a)2 + (y - b)2 = c2.
The center is at (a, b), the radius is c.
To find the radius, use the distance formula from (7,7) to (12,9):
r = √[ (x2 - x1)2 + (y2 - y1)2 ] = √[ (12 - 7)2 + (9 - 7)2 ] = √[ (5)2 + (2)2 ] = √29
Putting this all together: (x - 7)2 + (y - 7)2 = (√29)2 ---> (x - 7)2 + (y - 7)2 = 29
