Question

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 event.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 200

metres. On the basis of the above information, answer any four of the

following questions:

(i) What is the area allotted to shooting range ?

(a) 12,600 m2

(b) 22,000 m2

(c) 20,000 m2

(d) 16,880 m2

(ii) What is the area allotted to hockey court ?

(a) 12,600 m2

(b) 25,000 m2

(c) 14,680 m2

(d) 20,000 m2If the team of the curators managing the stadium, likes to allot

space for some more sports, how much area is available to them?

(Take = 3.14)

(a) 85,600 m2

(b) 95,800 m2

(c) 60,040 m2

(d) 76,980 m2

(iv) If the boundaries of the hockey court and shooting range are to be

fenced, then what is the required length of the fence ?

(a)200(2+5√3)m (b) 200(2+3√2)m (c) 200(2+5√2)m

(d) 200(2+3√3)m

(v) If the cost of fencing is Rs 6 per metre, what is the total cost of

fencing ?

(a) Rs 2400(2+3√2) (b) Rs 1200(2+5√2) (c) Rs 1200(2+3√2)

(d) Rs 2400(2+5√2)​

Answer 1

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Answer 2

Answer:

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