Two circles intersect at point T.if the small circle has a radius of 4 and C is the.center of the larger circle then the diameter of the larger circle must be

8 units.

Since the two circles intersect at point T, the distance from C (the center of the larger circle) to T must be equal to the sum of the radii of the two circles. The distance from C to T is the radius of the larger circle.

Given that the radius of the smaller circle is 4 units, the distance from C to T is 4 + 4 = 8 units. This means that the diameter of the larger circle is equal to 8 units.