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# Circles

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### Circles

1. 1. GROUP PROJECT : CIRCLES MA301 MEASUREMENT AND LOCATION II Yeo Khai Sern (JH304 Miu) Luo Ya Xun (JH304 Miu) Thong Ying Xuan (JH304 Miu) Zhou Shu Xian (JH304 Epsilon) Tammy Lim Ting Yi (JH304 Epsilon) Yong Zi Fong (JH304 Epsilon)
2. 2. Draw a line across from P to C through O (the mid point of the circle) Figure 2 O P B A C
3. 3. a a Let ∠OPA = a◦ Thus, ∆OPA is an isosceles triangle Therefore… ∠ OPA = ∠OAP = a◦ OP = OA (radius of circle) O P B A C
4. 4. a a 2a ∠ AOC= 2a◦ <ul><li>Why? </li></ul><ul><li>Exterior angle from addition of ∠OPA and ∠OAP </li></ul><ul><li>∴ a° + a° = 2a° </li></ul>O P B A C
5. 5. a a 2a b Let ∠ OPB = b◦ ∆ OPB is an isosceles triangle <ul><li>OP = OB (radius of circle) </li></ul>Because… b ∴ ∠ OPB = ∠OBP = b ° O P B A C
6. 6. a a 2a 2b b b ∠ OPB + ∠OBP = 2b◦ HOW? O P B A C
7. 7. O P B A C a a 2a 2b b b ∠ AOB = 2b◦ - 2a◦ ∠ APB = b◦ - a◦ Therefore,
8. 8. THANK YOU FOR YOUR KIND ATTENTION