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Jawaharlal Nehru Stadium in New Delhi is conducting the annual sports competition soon. The curator of the stadium is tasked with preparing the grounds for various sports as per the technical requirements of sports invigilator.
The engineer assigned to assist the curator is tasked with figuring out the dimensions for carving out some areas allotted for a 'hockey court' and a 'javelin range', as shown in the figure below.

The shapes of the 'hockey court' and the 'javelin range' are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the javelin range is such that the angle to centre is `90^(@).` The radius of the stadium is 200 metres.

The area (in sq m) allotted to 'javelin" range' is

A

11400

B

20000

C

31400

D

40000

Text Solution

Verified by Experts

The correct Answer is:
A
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Jawaharlal Nehru Stadium in New Delhi is conducting the annual sports competition soon. The curator of the stadium is tasked with preparing the grounds for various sports as per the technical requirements of sports invigilator. The engineer assigned to assist the curator is tasked with figuring out the dimensions for carving out some areas allotted for a 'hockey court' and a 'javelin range', as shown in the figure below. The shapes of the 'hockey court' and the 'javelin range' are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the javelin range is such that the angle to centre is 90^(@). The radius of the stadium is 200 metres. If the team of the curators managing the stadium, likes to allot space for some more sports, how much area (in sq m) is available to them?

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 ?

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  • Jawaharlal Nehru Stadium in New Delhi is conducting the annual sports competition soon. The curator of the stadium is tasked with preparing the grounds for various sports as per the technical requirements of sports invigilator. The engineer assigned to assist the curator is tasked with figuring out the dimensions for carving out some areas allotted for a 'hockey court' and a 'javelin range', as shown in the figure below. The shapes of the 'hockey court' and the 'javelin range' are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the javelin range is such that the angle to centre is 90^(@). The radius of the stadium is 200 metres. If the boundaries of the hockey court and javelin range are to be fenced, then the total length (in m) of the fence required is

    A
    `100 (2 + 3 sqrt2)`
    B
    `100 (1 + 5 sqrt 2)`
    C
    `20 0 (2 + 5 sqrt2)`
    D
    `200 (2 + 3 sqrt2)`

  • Jawaharlal Nehru Stadium in New Delhi is conducting the annual sports competition soon. The curator of the stadium is tasked with preparing the grounds for various sports as per the technical requirements of sports invigilator. The engineer assigned to assist the curator is tasked with figuring out the dimensions for carving out some areas allotted for a 'hockey court' and a 'javelin range', as shown in the figure below. The shapes of the 'hockey court' and the 'javelin range' are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the javelin 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 question: The area (in sqm) allotted to 'Hockey court' is

    A
    11400
    B
    20000
    C
    31400
    D
    40000

  • Jawaharlal Nehru Stadium in New Delhi is conducting the annual sports competition soon. The curator of the stadium is tasked with preparing the grounds for various sports as per the technical requirements of sports invigilator. The engineer assigned to assist the curator is tasked with figuring out the dimensions for carving out some areas allotted for a 'hockey court' and a 'javelin range', as shown in the figure below. The shapes of the 'hockey court' and the 'javelin range' are square and triangle respectively. Both of the courts have a common edge that touches the centre of stadium. The construction of the javelin range is such that the angle to centre is 90^(@). The radius of the stadium is 200 metres. If the cost of fencing is Rs 12 per metre, then the total cost of fencing is

    A
    Rs 1200 `(2 + 3 sqrt2)`
    B
    Rs 1200 `(2 + 5 sqrt2)`
    C
    Rs 400 `(2 + 5 sqrt2)`
    D
    Rs 2400 `(2 + 3 sqrt2)`

    • Similar Questions

    Explore conceptually related problems

    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 shooting range ?

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