3.2 (CIRCLES) Flashcards
1
Q
Equation of a circle?
A
(x-a)^2 + (y-b)^2 = r^2
2
Q
How to find the centre of a circle given 3 points?
A
Form chords between the points, the perpendicular bisectors of which will intersect at the origin
3
Q
What is a circumcircle?
A
draw a unique circle through the three vertices of a triangle – this is called the circumcircle of the triangle
4
Q
What is the angle in a semicircle property?
A
If a triangle is right-angled, then its hypotenuse is a diameter of its circumcircle
5
Q
How to show 2 points on a circle are a diameter?
A
Show AB is perpendicular to BC therefore ABC is right angles therefore AC is a diameter
