Home
Class 12
MATHS
A wire of length 36 m is to be cut into ...

A wire of length 36 m is to be cut into two pieces. One of the pieces is to be made into a square and other into a circle. What could be the lengths of the two pieces so that the combined area of the square and the circle is minimum ?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

A wire of length 20m is to be cut into two pieces. One of the pieces is to be made into a square and other into a circle. What could be the lengths of the two pieces so that the combined area of the square and the circle is minimum ?

A wire of length 25 cm is to be cut into two pieces. One of the pieces is to be made into a square and other into a circle. What would be the length of the two pieces so that the combined area of the square and the circle is minimum ?

A wire of length 34 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of two pieces so that the combined area of the square and the circle is minimum ?

A wire of length 30 m is to be cut into two? pieces, one of the pieces is to be made into a square and the other into a circle. What should be the length of two pieces so that the combined area of the square and the circle is minimum ?

A wire of length 28 m is to be cut into two pieces, one of the pieces is to be made into a square and the other into a circle. What should be the length ·of two pieces so that the combined area of the square and the circle is minimum ?

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

    Text Solution

    |

  2. If the sum of the lengths of hypotenuse and a side of a right-angled t...

    Text Solution

    |

  3. A wire of length 36 m is to be cut into two pieces. One of the pieces ...

    Text Solution

    |

  4. A wire of length 36 cm is cut into two pieces . One of the pieces is t...

    Text Solution

    |

  5. Prove that the perimeter of a right-angled triangle of given hypotenus...

    Text Solution

    |

  6. Prove that the area of right-angled triangle of given hypotenuse is ma...

    Text Solution

    |

  7. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  8. Show that, of all the rectangles with a given area, the square has the...

    Text Solution

    |

  9. Show that rectangle of maximum perimeter, which can be inscribed in a ...

    Text Solution

    |

  10. Show that of all rectangles inscribed in a given circle the square has...

    Text Solution

    |

  11. A rectangle is inscribed in a semi-circle of radius 'r' with one of it...

    Text Solution

    |

  12. Of all rectangles , each of which has perimeter: 40 cm . Find the one ...

    Text Solution

    |

  13. Of all rectangles , each of which has perimeter: 60 cm . Find the one ...

    Text Solution

    |

  14. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  15. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

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

    Text Solution

    |

  17. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |

  18. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  19. Show that the volume of the greatest cylinder, which can be inscribed ...

    Text Solution

    |

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

    Text Solution

    |