Elementary Math (E-Maths) - Angle Properties of Circle
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This question uses 4 properties of Circle. 1.Angle at Center = Twice angle at Circumference. 2. Angles in Opposite Segment. 3 . Angle Sum of Triangle. 4.Alternate Segment Theorem. Except for part 4. All the other properties are found in any E-Math Textbook. Part 4 is borrowed from Additional Math (A-Maths) and It can be used in the GCE O Level E-Maths Exam.
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- 1. E-Math – Geometry – Angle Properties of Circle Source: Mathematics 4, Shinglee, 2014, ex7m, q7 In the diagram, O is the centre of the circle and TA is a tangent to the circle. If 𝐴𝐶̂ 𝐵 = 40o , calculate the following angles: a)𝐴𝑂� 𝐶, b)𝐵𝐴̂ 𝐶, (Angle at centre = 2 x Angle at circumference) (Angles in opposite segment) (Angles sum of triangle)
- 2. www.tuitionwithjason.sg c) 𝐴𝐶̂ 𝑂, d) 𝑇𝐴̂ 𝐵, (Isosceles triangle) (Angles in alternate segments)