Question

Find the center and radius of the circle represented by the equation below.
left parenthesis, x, plus, 14, right parenthesis, squared, plus, left parenthesis, y, plus, 10, right parenthesis, squared, equals, 100
(x+14)
2
+(y+10)
2
=100

Answer 1

The equation is in standard form (x − h)^2 + (y − k)^2 = r^2 with h = −14 and k = −10.
So the center is (−14, −10) and the radius is r = √100 = 10.