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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 ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6g
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  2. Divide 15 into two parts such that product of square of one part and c...

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

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  4. about to only mathematics

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

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  6. An open tank with a square base and vertical sides is to be constructe...

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  7. Show that the height of a closed right circular cylinder of given s...

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

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  9. Show that the least cloth is required to construct a conical tent of g...

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  10. Show that the height of a cone of maximum volume inscribed in a sphare...

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  11. Find the area of the greatest isosceles triangle that can be inscri...

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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 in...

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  14. The sum of the perimeters of a square and a circle is given. Show that...

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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 fuel charges for running a train are proportional to the square of...

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  18. The conbined resistance R of two resistors R,& R(2)(R(1),R(2) gt 0) i...

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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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