Given:
Center of circle, (h, k) = (-10, -4)
Point the circle passes through ==> (4, -2)
Let's write the equation of the circle in standard form.
Apply the standard form of a circle equation:
Where:
(h, k) is the radius.
r is the radius of the circle.
To find the radius, let's find the distance between the points using the distance between points:
Where:
(x1, y1) ==> (-10, -4)
(x2, y2) ==> (4, -2)
Thus, we have:
Hence, we have:
• Center, (h, k) = (-10, -4)
,
• Radius of the circle = √200
Therefore, the equation of the circle is:
ANSWER: