Jawaharlal Nehru Stadium is a multi-purpose sports stadium and a very popular sports stadium of Delhi. It has a capacity to seat 60,000 people. It is the third largest multi-purpose stadium in India and owned by the Indian Olympic Association. In 2010, the Jawaharlal Nehru Stadium was the main stadium for XIX Commonwealth Games, a major sporting Jawaharlal Nehru Stadium is conducting the annual sports competition soon. The curator of the stadium is tasked to figuring out the dimensions for carving out some areas allotted for a hockey court and a shooting range, as shown in the figure below. The shapes of the hockey court and the shooting range are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the shooting range is such that the angle to centre is 90^(@). The radius of the stadium is 180 metres. On the basis of the above information, answer any four of the following questions: What is the area allotted to hockey court ?