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Circle Theorems: 1.

The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. angle subtended at the centre. A. B. The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. C.

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Circle Theorems: 1.

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  1. The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. angle subtended at the centre A B

  2. The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. C angle subtended at the circumference A B

  3. The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. C angle at the centre is twice that at the circumference A B

  4. The angle subtended at the centre of a circle is twice the angle subtended at the circumference. Circle Theorems: 1. C x O angle at the centre is twice that at the circumference AOB = 2 x ACB 2x A B

  5. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C x Given: The angle subtended at the centre of a circle is twice the angle subtended at the circumference. 2x A B

  6. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C E x D x x 2x A B

  7. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C  ADB = ACB = AEB E x D x x 2x A B

  8. C E D A B Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C ADB = ACB = AEB E x D x x A B

  9. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C ADB = ACB = AEB E D angles subtended by arc AB angle subtended by arc AB arc AB A A B B

  10. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C ADB = ACB = AEB E D angles subtended by arc AB angle subtended by arc AB in the same segment A B

  11. Angles subtended by an arc in the same segment of a circle are equal. Circle Theorems: 2. C ADB = ACB = AEB E D Angles subtended by arc AB in the same segment are equal. A B

  12. Objective: To use theorems 1 and 2 to calculate angles. Circle Theorems: 1 & 2 Examples x = y = 180 – (96 + 50) 500 z x = 180 – 146 = 340 960 500 400 y

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