Final answer:
The diameter of the circle with endpoints (-3,2) and (3,-2) is found using the distance formula, yielding a diameter of approximately 7.21 units.
Step-by-step explanation:
The question asks to find the diameter of a circle given the endpoints of a diameter at (-3,2) and (3,-2). To find the diameter, we calculate the distance between these two points using the distance formula which is √((x2-x1)2 + (y2-y1)2).
Inserting the given coordinates into the distance formula, we get the diameter D as √((3-(-3))2 + (-2-2)2) = √(62 + (-4)2) = √(36 + 16) = √52, which is approximately 7.21 units. Since π (Pi) is approximately 3.14, we know that the circumference C of the circle with diameter D is given by C = πD. Thus the perimeter of the circle is slightly over 6 times the radius, as expected.