# A-Math Circular Measure

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

:)

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### Ai Ling Ong

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### 5 Responses to A-Math Circular Measure

1. Lustrous Realm says:

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

2. Rachel says:

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

3. waleed says:

can u show scanned working.........plus proving.