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

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:
`(112)/(pi+4)cm , (28pi)/(pi+4) cm`
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NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.5
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  3. Find the maximum and minimum values of x + sin 2x on [0, 2pi].

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  7. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

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  8. A square piece of tin of side 18 cm is to be made into a box without t...

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  9. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...

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  10. Show that of all the rectangles inscribed in a given fixed circle, the...

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  11. Show that the right circular cylinder of given surface and maximum vol...

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  12. Of all the closed cylindrical cans (right circular), of a given volume...

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

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  14. Prove that the volume of the largest cone that can be inscribed in a s...

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  15. Show that the right circular cone of least curved surface and given vo...

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

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

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  18. The point on the curve x^(2) = 2y which is nearest to the point (0, 5)...

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  19. For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2))...

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  20. The maximum value of [ x(x-1)+1]^((1)/(3)) , 0 lt= x lt= 1 is

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