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A window is in the shape of a rectangle ...

A window is in the shape of a rectangle surmounted by a semi-circle. If the perimeter of the window be 20 feet then find the maximum area.

A

`(k^2)/(pi+4) ` sq. unit

B

`k/(pi+4)` sq. unit

C

`(k^2)/(2(pi+4))` sq. unit

D

`k/(2(pi+4))` sq.unit

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. A wire of length 20cm is cut into two parts which are bent in the form...

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  4. A window is in the shape of a rectangle surmounted by a semi-circle. I...

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  5. A line segment of length 10 cm is diveded into two parts and a rectang...

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  6. A (0,a) ,B(0,b) be fixed points , P(x,0) a variable point. The angle a...

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  7. A line segment of length 8cm is divided into two parts AP and PB by a ...

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  8. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

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  9. The triangle of maximum area that can be inscribed in a circle is

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  10. The maximum value of the area of the triangle with vertices (a,0) ,(a ...

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  11. Find the triangle of the greatest area among the right triangles of a ...

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  12. The maximum area of triangle formed by a tangent line to the curve x^(...

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  13. The sum of the hypotenuse and a side of a right angled triangle is con...

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  14. Two sides of a triangle is given . If the area of a triangle is maximu...

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  15. A triangular park is enclosed on two sides by a fence and on the third...

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  16. The point P in the first quadrant of the ellipse x^2//8 +y^2//18 =1 so...

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  17. A straight line through the point (3,4) in the first quadrant meets th...

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  18. Through the point (2,3) ,a straight line is drawn making, positive int...

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  19. The perimeter of a sector is given. The area is maximum when the angle...

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  20. If the perimeter of a sector of a circle is constant then find the ang...

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