Find the distance (in cm) between the centres of two circles having radii of 32 cm and 24 cm, respectively, if the length of a direct common tangent to the two cireles is given as 24√7 cm.

Two concentric circles have radii of 10 cm and 26 cm. Find the length of the chord of the larger circle that is tangent to the smaller circle.​

If the radius  of two circles are 4.5 cm and 3.5 cm and the length of the transverse common tangent is 6 cm, then the distance between the two centers will be:

Two concentric circles form a circular path. The inner and outer circumference of the path are $$56\frac{4}{7}$$ m and $$94\frac{2}{7}$$ m respectively. Find the width of the path.​