In the figure below A, B, C and D are points on the circumference of the circle, centre 0, A tangent to the circle at A intersects chord CD produced at E. Line AB is parallel to line EC. Angle AED = 45° and angle ABD = 40°.

- Calculate the size of
- Given that ED = 3.5 cm and DC = 4.9 cm, calculate correct to 1 decimal place:
- the length of the tangent AE.
- the radius of the circle.