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Mensuration of Circular Curves: Fractional Circumference

Mensuration of Circular Curves: Fractional Circumference

Secondary 3

The diagram shows an arc \(AB\) of a circle with centre \(O\) and another arc \(CB\) of a circle with centre \(D\).

Given that \(OC = 6\) cm, \(OD = 6\) cm and \(\angle COD = 1.69\) rad, find

  1. the length of \(CD\),
  2. the length of arc \(AB\),
  3. the perimeter of the shaded region,
  4. the area of shaded region.

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Answer:(i) \(8.98\text{ cm}\) (ii) \(25.3\text{ cm}\) (iii) \(56.0\text{ cm}\) (iv) \(74.3\text{ cm}^2\)

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