A tangent is drawn from an external point ‘A’ to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point ‘A’ is:

13 cm

Distance from the center of circle to point 'A' = √ (\( { 12}^{2 } \) + \( { 5}^{2 } \))

Distance from the center of circle to point 'A' = √(144 + 25) = √169 = 13 cm.

Therefore, the distance from center of circle to point 'A' is 13 cm.