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  • Question
  • Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.


  • Options
  • A. 56m
  • B. 16m
  • C. 14m
  • D. 76m

  • Correct Answer
  • 56m 

    Explanation

    clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope.


    Let the length of the rope be r mts 

    then,  ?r 2 = 9856   ?   r 2 = 9856 × 7 22 = 3136   ? r   = 56 m


  • Area problems


    Search Results


    • 1. The area of a circle of radius 5 is numerically what percent its circumference?

    • Options
    • A. 150%
    • B. 250%
    • C. 350%
    • D. 450%
    • Discuss
    • 2. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

    • Options
    • A. 28 cm
    • B. 3.5 cm
    • C. 7 cm
    • D. 14 cm
    • Discuss
    • 3. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

    • Options
    • A. 20 m
    • B. 30 m
    • C. 40 m
    • D. 50 m
    • Discuss
    • 4. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?

    • Options
    • A. 10cm
    • B. 20cm
    • C. 30cm
    • D. 40cm
    • Discuss
    • 5. The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

    • Options
    • A. 44
    • B. 22
    • C. 33
    • D. 84
    • Discuss
    • 6. Square units 13 by 9 of an office area is

    • Options
    • A. 97
    • B. 117
    • C. 107
    • D. 127
    • Discuss
    • 7. Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

    • Options
    • A. 121 sq.com
    • B. 154 sq.com
    • C. 186 sq.com
    • D. 164 sq.com
    • Discuss
    • 8. The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

    • Options
    • A. 49
    • B. 70
    • C. 140
    • D. 150
    • Discuss
    • 9. The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

    • Options
    • A. 312 sq.cm
    • B. 128 sq.cm
    • C. 412 sq.cm
    • D. 246 sq.cm
    • Discuss
    • 10. The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

    • Options
    • A. 27 and 23
    • B. 24 and 23
    • C. 25 and 23
    • D. 22 and 23
    • Discuss


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