Home
Class 11
MATHS
The Government plans to have circular z...

The Government plans to have circular zoological park of diameter 8 km. A separate area in the form of a segment formed by a chord of length 4 km is to allotted exclusively for a veterinary hospital in the park find the area of the segment to be allotted for the veterinary hospital.

Text Solution

Verified by Experts

The correct Answer is:
`4/3 [2pi -3sqrt3]m^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Find the diameter of the image of the moon formed by a spherical concave mirror of focal length 7.6 m. The diameter of the moon is 3450 km and the distance of the earth and the moon is 3.8 xx 10^5 km.

A park is in the form of a rectangle 120 mx100 mdot At the centre of the park there is a circular lawn. The area of park excluding lawn is 8700 m^2 . Find the radius of the circular lawn. (U s epi(22)/7)

A closed coil having 100 turns is rotated in a uniform magnetic field B = 4.0 X 10^(-4) T about a diameter which is perpendicular to the field. The angular velocity of rotation is 300 revolutions per minute. The area of the coil is 25 cm^2 and its resistance is 4.0 Omega. Find (a) the average emf developed in the half a turn form a position where the coil is perpendicular to the magnetic field, (b) the average emf in a full turn and (c) the net charge displaced in part (a).

FULL MARKS-TRIGONOMETRY-Exercise 3.12
  1. The Government plans to have circular zoological park of diameter 8 k...

    Text Solution

    |

  2. (1)/(cos 80^(@)) - (sqrt(3))/(sin 80^(@)) =

    Text Solution

    |

  3. If cos 28^(@) + sin 28^(@) = k^(3), then cos 17^(@) is equal to

    Text Solution

    |

  4. The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos""...

    Text Solution

    |

  5. (1 + cos"" (pi)/(8))(1 + cos"" (3pi)/(8)) (1 + cos"" (5pi)/(8))(1 + co...

    Text Solution

    |

  6. If pi lt 2 theta lt (3pi)/(2), then sqrt(2 + sqrt( 2 + 2 cos 4 theta))...

    Text Solution

    |

  7. If tan 40^(@) = lambda, then (tan 140^(@) - tan 130^(@))/(1 + tan 140^...

    Text Solution

    |

  8. cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

    Text Solution

    |

  9. Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge1. ...

    Text Solution

    |

  10. Which of the following is not true?

    Text Solution

    |

  11. cos 2theta cos 2phi + sin^(2) (theta - phi ) - sin^(2) ( theta + phi) ...

    Text Solution

    |

  12. (sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A...

    Text Solution

    |

  13. If cos ptheta + cos qtheta = 0 and if p ne q, then theta is equal to (...

    Text Solution

    |

  14. If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (s...

    Text Solution

    |

  15. In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2, then the triang...

    Text Solution

    |

  16. If f(theta) = |sin theta| + |cos theta|,theta in RR, then f(theta) is ...

    Text Solution

    |

  17. (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x + 10 cos x ) i...

    Text Solution

    |

  18. The triangle of maximum area with constant perimeter 12m

    Text Solution

    |

  19. A wheel is spinning at 2 radians/second. How many seconds will it take...

    Text Solution

    |

  20. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  21. In a DeltaABC, if (i)sin (A)/(2) sin"" (B)/(2) sin"" (C )/(2) gt 0 (...

    Text Solution

    |