1 / 12

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.

chandler-ewing
Download Presentation

Circle Theorems: 1.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related