Kishore purchased a farmhouse which is in the form of a semicircle of diameter \(70 \ m\). He divides it into three parts by taking a point \(P\) on the semicircle in such a way that \(\angle PAB = 30^\circ\) as shown in the following figure, where \(O\) is the centre of semicircle.
In part \(I\), he planted saplings of Mango tree, in part \(II\), he grew tomatoes and in part \(III\), he grew oranges. Based on given information, answer the following questions. [Use \(\pi = \frac{22}{7}\), \(\sqrt{3}=1.732\)]
(i) What is the measure of \(\angle POA\)?
(ii) Obtain the length of wire needed to fence entire piece of land.
(iii) Obtain the area of region in which saplings of Mango tree are planted.
(iv) Obtain the length of wire needed to fence the region \(III\).