What did the caveman say to his mate?
Do you want to go clubbing tonight?
We have a lot to thank the caveman for (or whoever) that invented the wheel.
Circles are a huge part of our everyday life, from a potters wheel, jewelry, clocks, and wheels.
Engineers owe a lot to the study of circles as gears rely on them. Can you think of any more?
Circle theorems help to solve problems in many ways.
Lets remind ourselves of the theorems
Angles at the centre are twice that on the circumference.
Angles in the same segment are equal
Angle subtended from the diameter is 90°
Opposite angles in cyclic quadrilaterals add up to 180°
Tangents to a circle meet the circumference at 90° and the lines are of equal length.
Chords and radii
Angles in alternate segments are equal
The trick to being successful in these questions is to be able to spot the theorems.
In problems solving questions, there is usually more than one theorem to follow.
Quite often you will have to find angles that are not identified first.
Lets investigate the magic.