Karen travels along a circular path, when she reaches the spot she started from, she finds that she has covered 132 metres. If she were to walk in a straight line through the center of the circle and reach the opposite side, how much distance did she travel?
(Assume π is  
22
7
 )


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Answer:

42 metres

Step by Step Explanation:
  1. Distance covered by Karen along the circular path = 132 metres.
    Since, she traveled a full circle, the distance covered by her is also equal to the circumference of the circle.
    Thus,
    2πr = 132, where r is the radius of the circle.
    ⇒ 2r =  
    132
    π
     
    Since, the diameter of a circle is twice its radius,
    ⇒ d =  
    132
     
    22
    7
     
     , where d is the diameter of the circle.
    ⇒ d = 132 ×  
    7
    22
     
    ⇒ d = 42
  2. If Karen were to walk in a straight line through the center of the circle and reach the opposite side, the distance would be equal to the diameter of the circle.
    Circle

    Thus, the distance would be 42 metres.

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