Circle Theorems Flashcards
What is a line that goes through a circle, but never through its diameter?
A Chord
What is a line going straight through the middle of a circle, and what is half of that line called?
The diameter and the radius
What are the parts made from the chord?
Minor segment and the major segment
How do you calculate the arc length of a circle?
(theta)
——— x π x radius²
360
How do you calculate the area of a circle?
π x radius²
How do you calculate the circumference of a circle?
π x diameter
What is the straight line going on the outside of the circle called?
Tangent
The angle between a tangent and the radius, at the point where they meet, what angle is formed?
Two right angles
Angles from the same arc and from the same _______ are equal.
Segment
The angle formed in a semicircle is:
a) an acute angle
b) a right angle
c) an obtuse angle
B) a right angle
What is the alternate segment theorem?
When the angle between a tangent and a chord is equal to the angle at the circumference in the alternate segment
What angles in a cyclic quadrilateral add up to 180°?
Opposite angles add up to 180°
The angle at the centre of a circle is ______ the angle at the circumference from the same arc.
a) double
b) half
c) equal to
a) double
What does the term ‘cyclic’ mean?
touching the edges of a circle
Are the angles drawn from a point to a circle different?
No, they will be the same. It makes a kite shape.
