Circle theorems pdf

The diagram shows a circle centre O. A, B and C are points on the circumference. DCO is a straight line. DA is a tangent to the circle. A, B and C are points on the circumference of a circle, centre O.

The line SAT is the tangent at A to the circle. Calculate the size of angle OAB. Total for Question 7 is 5 marks. A, B, C and D are points on the circumference of a circle. WX is a diameter of a circle. Y is a point on the circle.

Find the size of angle XZY. You must give reasons for your answer. Total for Question 9 is 4 marks. AE is a tangent at A. CDE is a straight line. Work out the size of angle AED, marked x, on the diagram. You must show your working. Give reasons for any angles you work out. W, X, Y and Z are points on a circle, centre O. Give a reason for your answer. Give reasons for your answer. Total for Question 11 is 6 marks Lots more papers at www.

AC is a diameter of the circle. Total for Question 12 is 5 marks. UST is a tangent to the circle. Diagram NOT Q accurately drawn. Total for Question 13 is 7 marks 3. Diagram NOT accurately drawn. Total for Question 14 is 3 marks.

S and T are points on the circumference of a circle, centre O. PT is a tangent to the circle. SOP is a straight line. You must give a reason for each stage of your working. Total for Question 15 is 4 marks. Turn over. Open navigation menu. Close suggestions Search Search. User Settings. Skip carousel. Carousel Previous. Carousel Next. What is Scribd? Explore Ebooks. Bestsellers Editors' Picks All Ebooks. Explore Audiobooks. Bestsellers Editors' Picks All audiobooks.

Explore Magazines. Editors' Picks All magazines. Explore Podcasts All podcasts. Difficulty Beginner Intermediate Advanced. Explore Documents. Circle Theorems. Uploaded by Neha Pathak Zaveri. Did you find this document useful? Is this content inappropriate? Report this Document. Flag for inappropriate content. I've also recently popped in more links back to the dynamic geometry pages: for example, you can just click on the diagram. I notice that Google seems to land you here if you were Searching for 'Circle Theorems', so you may not yet have seen the full dynamic delights lurking a mere click away!!!

If you get "Error. Click for details" where the dynamic geometry ought to be, it may just be worth reloading the page. If you have problems with the pages, or want to get in touch, let me know. Here's a link to the their circles revision pages. The Theorems Download them as a. Second circle theorem - angle in a semicircle. Third circle theorem - angles in the same segment.