What Are The Circumference Of Each Circular Plate

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Two equal  maximum  sized  circular plates  are  cut  off  from   a  circular paper sheet of circumference 352 cm. Then the circumference of each circular plate is

  1. J 76 cm
  2. 150  cm
  3. 165 cm
  4. 180 cm
Anurag Mishra Professor Asked on 19th July 2015 in Maths.
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    Answer: (1). 176 cm

    The circumference of a large circular paper sheet is 352 cm.
    and two maximum sized circular plates are cut from it. therefore, the radius of a large circle is the diameter of small circles. Let R is the radius of large circle & the small circle is r.
    Circumference of large circle = 2πR

    352 = 2πR

    352×7/44 = R

    56 = R.

    The radius of the large circle is a diameter of the small circle.

    Therefore, R/2 = r

    56/2 = r

    28 = r

    Then, circumference of small circle = 2πr

    = 2x (22/7) X28

    = 176

    So, the circumference of small circles is 176cm each.

     

    vijay Professor Answered on 21st July 2015.
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