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11 marksArea of Segment of a Circle

CSEC Mathematics · January 2004 · Paper 2 · Question 11(b)(iii)

In the diagram, O is the centre of the circle. Angle AOB = 80° and AB = 12 cm. The diagram shows a circle with center O, points A and B on the circumference, and a chord AB. A sector AOB is shaded.

Calculate, giving your answer correct to 2 decimal places, the area of the shaded region.

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Other parts of this question

  1. 11(a)Calculate, to the nearest km, the SHORTEST distance between S and T, along the parallel of latitude.[4 marks]
  2. 11(b)(i)Calculate, giving your answer correct to 2 decimal places, the radius of the circle.[11 marks]
  3. 11(b)(ii)Calculate, giving your answer correct to 2 decimal places, the area of the minor sector AOB.[11 marks]

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