Download presentation

1
Circle Theory

2
**2x o Centre of Circle x This is the ARC**

The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the circumference subtended by the same arc.

3
**Case 2 Centre of Circle x o 2x This is the ARC**

Angle subtended at the Centre is twice the angle at the circumference

4
**Angles Subtended in the same segment**

We are ALL EQUAL x Major Segment Chop Sticks Minor Segment This is the Arc Angles Subtended in the same segment of a circle are equal

5
**Cyclic Quadrilateral A If this angle was 600 then angle**

BCD would be =1200 B o x 180-x D C 1200 Points which lie on the circumference of the same circle are called cyclic (or concyclic) points. A cyclic quadrilateral is a quadrilateral with all its four corners (vertices) on the circumference of the same circle. Cyclic Quadrilateral

6
B Tangent O T A TA=TB Tangents NB Triangles OBT and OAT are CONGRUENT!

7
E Major Segment D Minor Segment A B C The Shaded Segment BED is called the alternate segment to the angle CBD The angle between a tangent to a circle and a chord drawn through the point of contact is equal to any angle subtended by the chord at the circumference in the alternate segment

8
**The angle in a semi circle is 90 degrees!**

Center of Circle Diameter

Similar presentations

OK

© www.teachitmaths.co.uk 2012 16973 Circle theorems workout 1.

© www.teachitmaths.co.uk 2012 16973 Circle theorems workout 1.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on cross site scripting tutorial Download ppt on medical tourism in india Ppt on team management skills Ppt on sobel edge detection Ppt on environmental degradation in india Ppt on solar eclipse and lunar eclipse Product mix ppt on nestle water Ppt on manufacturing of cars Ppt on db2 introduction to logic Ppt on global warming for class 10