Questions: Find the center and radius of the circle. Write the standard form of the equation The center of the circle is (h,k) = []

Solution Steps

From the graph, observe the coordinates of the center of the circle. The center is located at the point (4, 4).

Measure the distance from the center of the circle to any point on the circumference. The radius is 4 units.

The standard form of the equation of a circle with center (h, k) and radius r is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Substitute the center (4, 4) and radius 4 into the equation: \[ (x - 4)^2 + (y - 4)^2 = 4^2 \] \[ (x - 4)^2 + (y - 4)^2 = 16 \]

Final Answer