The angle between the tangent from point P to a circle and the line from P to the centre of the circle is 23º. Determine the length of the line from P to the centre of the circle if the radius is 4 cm. 10. A tangent from a point X to a circle of radius 5 cm is 12 cm long. Find: a. the distance of X from the centre of the circle b. the size of the angle between the tangent and the line joining X to the centre of the circle.