Points A and B lie on the circumference of a circle of radius 14cm. The minor arc AB has length 11cm. Answer the following questions.
(i) Determine the measure of ∠AOB in radians and in degrees, correct to one decimal place.
(ii) Calculate the length of the chord AB.
(iii) The chord AB is used as the radius of a new circle. Find the area of this new circle in square centimetres, correct to one decimal place.
(iv) Find the ratio of the area of sector AOB of the original circle to the area of the new circle, expressing your answer in simplest form.