Questions: Find the center and radius of the circle. Write the standard form of the equation. The center of the circle is (Type an ordered pair)

Solution Steps

The center of the circle is given as the point (14, 7).

The radius is the distance from the center to any point on the circle. From the diagram, the radius is 7 units.

The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Substituting \(h = 14\), \(k = 7\), and \(r = 7\): \[ (x - 14)^2 + (y - 7)^2 = 7^2 \] \[ (x - 14)^2 + (y - 7)^2 = 49 \]

Final Answer