Center: (-16, -12) Radius: 3
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Center: ( - 16, -12)
Radius: 3
Determine the equation of the circle.
Solution:
The equation in the circle can be written in two forms, depending on the center.
Equation of the circle with the center at the origin (0,0)
x^2 + y^2 = r^2
Equation of the circle with the center at any point (h, k)
(x - h)^2 + ( y - k)^2 = r^2
Since we are given a center with a point, then we can use the second equation.
(x - (-16))^2 + (y - (-12))^2 = (3)^2
( x + 16 )^2 + ( y + 12 )^2 = 9
Final answer:
Equation of the circle:
( x + 16 )^2 + ( y + 12 )^2 = 9