A circle with center (-3,0) is between x=-5 and x=-1. Find the radius of the circle and hence find its equation.

Answer 1

If the circle is between -5 & -1, this means that the diameter is -5- (-1) = -4 or 4 units.

Therefore, the radius is 2. So, the equation of the circle would be (x + 3)² + y² = 4

The general form of the equation is (x - x_o)² + (y - y_o)² = r² where (x_o,y_o) is the center of the circle.