Thanks and have a nice day.Given: A circle with centre T(5, -1) and radius of 16
To Determine: The equation of the circle
The equation of a circle with the coordinate of the centre and radius is

From the given center and radius, we have

Substitute the values of h, k, and r into the equation of the circle as shown below:

Hence, the equation of the circle with center T(5,-1) and radius 16 is
(x-5)²+(y+1)²=256, OPTION B