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A wire of length 28 m is to be cut in...

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 the two pieces so that the combined area of the square and the circle is minimum?

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The correct Answer is:
`(28 pi)/(pi+4) "metre" and (112)/(pi+4)` metre
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NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6g
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  2. Find two number whose sum is 100 and the sum of twice of first part an...

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  3. Find two numbers whose sum is 12 and the product of the square of one ...

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  4. Divide 15 into two parts such that product of square of one part and c...

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  5. (i) The two sides of a rectangle are x units and (10 - x) units. For w...

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  6. Show that the triangle of maximum area that can be inscribed in a give...

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  7. If the surface area of an open cylinder is 100 cm^(2), prove that it...

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  8. (i) The base of an open rectangular box is square and its volume is 2...

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  9. An open tank of square base is to be constructed which has a given qua...

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  10. The base of a cuboid is square and its volume is given. Show that its...

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  11. Find the maximum are of the isosceles triangle inscribed in the ell...

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  12. The volume of a closed square based rectangular box is 1000 cubic metr...

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  13. Show that height of the cylinder of greatest volume which can be insc...

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  14. The sum of perimeter of a square and circumference of a circle is give...

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  15. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

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  16. The stiffness of a beam of rectangular cross-section varies as the pr...

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  17. The expenditure on fuels in running a train varies as the square of it...

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  18. The combined resistance of two resistors R(1) and R(1)" is given by "1...

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

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  20. A wire of length 28 m is to be cut into two pieces. One of the piec...

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