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# GCSE Circle Theorems

Teacher recommended

- Subject: Mathematics
- Level: GCSE
- Exam board: All boards
- Author: Naomi Arnold
- Year created: 2012

GCSE circle theorems; good detailed revision notes with a couple of exam style questions at the end.

## Related resources:

## Other slides in this set

### Slide 2

Extracted text:

90°

Angles in a Semi-circle 90°

Angles in semicircle = 90 degrees.

OR

Angles subtended by a diameter = 90

degrees.

### Slide 3

Extracted text:

Angles in the Same Sector

These angles same

These angles same size!

size!

Angles in the same segment are equal.

### Slide 4

Extracted text:

Cyclic Quadrilaterals

A+C=180

B+D=180

Opposite angles in a Cyclic

Quadrilateral (four-sided shape with its B

corners touching the edge of a circle)

add to 180

A

C

D

### Slide 5

Extracted text:

Centre Angle/Circumference Angle

A Angle A is half of angle B.

The angle at the

circumference is half of the

angle at the centre.

OR

B The angle at the centre is

double the angle at the

circumference.

Origin (Centre)

### Slide 6

Extracted text:

Alternate Segment Rule

This applies where

Angle A = Angle B

there is a triangle in a

Angle C = Angle D circle and one corner

A is touching a tangent

to the circle.

C

Angles in alternate

segments are

equal.

B D

Fri 27th December, 2013 @ 18:26