Answer:
(x+8)² + (y+13)² = 169
Step-by-step explanation:
Equation of circle:
(x-h)² + (y-k)² = r²
(h,k) is the centre, r is the radius
(x-(-8))² + (y-(-13))² = 13²
(x+8)² + (y+13)² = 169
Answer: the equation of the circle is
(x + 8)² + (y + 13)² = 169
Step-by-step explanation:
A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.
The center of the circle is (-8, -13)
The formula for determining the equation of a circle us expressed as
(x - h)² + (y - k)² = r²
Where
r represents the radius of the circle
h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,
h = - 8 and k = - 13
Radius, r = 13
Substituting into the formula, it becomes
(x - h)² + (y - k)² = r²
(x - - 8)² + (y - - 13)² = 13²
(x + 8)² + (y + 13)² = 169
