Home
Class 11
MATHS
If the perimeter of a sector of a circle...

If the perimeter of a sector of a circle is 'c' cm then show that its maximum area is `c^(2)//16` sq. cm.

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.2 (Long Answer Questions)|36 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

If the perimeter of a sector of a circle is constant then find the angle of the sector, when its area is maximum.

The perimeter of a sector is 'C' cms. Then maximum area of sector is C^2/(16) sq,cm

The perimeter of a quadrant of a circle of radius (7)/(2) cm is ………cm

The perimeter of square is 40 cm then find it's area?

The perimeter of a sector is 24 cm. Its maximum area in sq.cm is

If The perimeter of square is 16cm then the Area = …………sq.cm.

The perimeter of an equilateral triangle is 60 cm then its area is …………… cm^(2).

The perimeter of an equilateral triangle is 60 cm then its area is …………… cm^(2).

The area of a sector of a circle of radius 7 cm and central angle 45^@ is

AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
  1. Find the area of greatest rectangle that can be inscribed in (x^(2))/(...

    Text Solution

    |

  2. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  3. If the perimeter of a sector of a circle is 'c' cm then show that its ...

    Text Solution

    |

  4. If the perimeter of a sector of a circle is constant then find the ang...

    Text Solution

    |

  5. The sum of the surfaces of a sphere and a cube is given. Show that whe...

    Text Solution

    |

  6. Show that a closed cylinder of a given volume will have its least surf...

    Text Solution

    |

  7. Show that a conical tent of given capacity will require the least amou...

    Text Solution

    |

  8. The equation of the normal to the curve x^(2)=4y at (1,2) is

    Text Solution

    |

  9. Find the dimensions and the volume of the greatest cylinder that can b...

    Text Solution

    |

  10. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  11. Show that the semi-vertical angle of right circular cone of the maximu...

    Text Solution

    |

  12. Show that semi-vertical angle fo right circular cone of given surface ...

    Text Solution

    |

  13. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  14. An open top box of maximum possible volume from a square piece of tin ...

    Text Solution

    |

  15. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

    Text Solution

    |

  16. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  17. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  18. A tank with rectangular base and rectangular side, open at the top is ...

    Text Solution

    |

  19. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

    Text Solution

    |

  20. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

    Text Solution

    |