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  • Question
  • Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is


  • Options
  • A. 1.967
  • B. 1.867
  • C. 1.767
  • D. 1.567

  • Correct Answer
  • 1.967 

    Explanation

    required area = (area of an equilateral triangle of side 7 cm)- (3 * area of sector with à = 60 degrees and r = 3.5cm)
    3 4 * 7 * 7 - 3 * 22 7 * 3 . 5 * 3 . 5 * 60 360  sq cm

     

    = 3 4 * 49 - 11 * 0 . 5 * 3 . 5  sq cm

     

    = 1.967 sq cm


  • More questions

    • 1. 
      The average age of 5 sisters is 20 yr. If the age of the youngest sister be 4yr. What was the average age of the group of sister at the birth of the yongest sisiter?

    • Options
    • A. 25 yr
    • B. 15 yr
    • C. 18 yr
    • D. 20 yr
    • Discuss
    • 2. 
      Find the income by investing $ 81000 in 9% stock at 135.

    • Options
    • A. $ 5500
    • B. $ 6400
    • C. $ 5400
    • D. $ 6000
    • Discuss
    • 3. 11, 13, 17, 19, 23, 29, 31, 37, 41, (....)

    • Options
    • A. 43
    • B. 47
    • C. 53
    • D. 51
    • Discuss
    • 4. 
      3, 5, 9, 11, 14, 17, 21?

    • Options
    • A. 21
    • B. 17
    • C. 14
    • D. 9
    • Discuss
    • 5. 
      22, 33, 66, 99, 121, 279, 594?

    • Options
    • A. 33
    • B. 121
    • C. 279
    • D. 594
    • Discuss
    • 6. What is the average of four tenths and five thousandths

    • Options
    • A. 25002
    • B. 2502
    • C. 0.2025
    • D. none
    • Discuss
    • 7. Which number will come in place of question mark 7, 16, 36, 78, 144, ?

    • Options
    • A. 168
    • B. 196
    • C. 222
    • D. 256
    • Discuss
    • 8. Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older then C then the present ages of A, B and C are ( in year)

    • Options
    • A. 61, 58 and 55
    • B. 54, 51, and 48
    • C. 55, 58, and 61
    • D. 48, 51 and 54
    • Discuss
    • 9. In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

    • Options
    • A. 4√10
    • B. 2√10
    • C. 6√10
    • D. 3√5
    • Discuss
    • 10. If V = 12R / (r + R) , then R =

    • Options
    • A. Vr / (12 - V)
    • B. Vr + (V /12 )
    • C. V
    • D. V / (r - 12 )
    • Discuss


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