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Oct/07

6

A-Math Circular Measure

5 marks, showing qn. Another question from GCE O Level Additional Mathematics (A-Math).

:)

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3 comments

  • Lustrous Realm · October 6, 2007 at 2:54 pm

    You can form 2 equilateral triangles within the shaded region itself and the length of each side is 2r.

    Next is to find the total area of these 2 triangles. You can use the equation half x base x height. The base is 2r and the height can be found with pythagoras theorem.

    Since we know that there are 2 equilateral triangles, we will know that the angle is 120 degrees. Thus, find the area of the sector now using the formula half x radius squared x theta. The theta is 120 x pi divide 180.

    Use this value to minus off the total area of the 2 equilateral triangles found earlier. Name this value x.

    The answer can then be proven by the following expression:

    2x + Total Area of the 2 equilateral triangles.

    Good luck to you in your Prelims XD

    Reply

  • Rachel · February 1, 2008 at 10:27 pm

    Well your question is not really that hard. There are question harder than that:P

    Reply

  • waleed · February 6, 2010 at 9:02 pm

    can u show scanned working………plus proving.

    Reply

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Hi, my name is Ai Ling Ong and I'm a professional Math Trainer specializing in GCE 'O' level Mathematics (Additional & Elementary). More than 10 years of teaching experience, I have coached hundreds of students more than 80 schools in Singapore. Read more about me here
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