Home
Class 12
MATHS
A window is in the form of a rectangle s...

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.

Text Solution

Verified by Experts

The correct Answer is:
`20/(4+pi);10/(4+pi)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION I) (Multiple Choice Questions)|10 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SHORT ANSWER TYPE QUESTIONS) (SECTION II)|20 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION VI) |6 Videos
  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

A window is in the form of rectangle surmounted by a semi-circular opening. The perimeter of window is 30 m. Find the dimensions of window so that it can admit maximum light through the whole opening.

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 20 m. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening.

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 100 meters. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening

A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 meter. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening.

A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.