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  1. PS is a diameter of a circle of radius 6 cm. In the diameter PS, Q and R are two points such that PQ, QR and RS are all equal. Semicircles are drawn on PQ and QS as diameter (as shown in the figure). The perimeter of shaded portion is :

    1. 15
      6
      cm
      7

    2. 75
      3
      cm
      7

    3. 37
      5
      cm
      7
    4. 18
      6
      cm
      7
Correct Option: D

PQ = QR = RS = 2 cm.
Perimeter of shaded region = QS + PS + PQ
= π × 2 + π × 1 + π × 3

= 6π = 6 ×
22
=
132
= 18
6
cm.
777



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