Properties of Circles Flashcards
What is the 1st important property of a circle?
The angle of a semi circle is a right angle
What is the 2nd important property of a circle?
The perpendicular line from the centre to a chord bisects the chord
What is the 3rd important property of a circle?
The radius of a circle at a given point on its circumference is perpendicular to the tangent of the circle at this point
What is a tangent
a line that touches a curve or surface at a single point but doesn’t intersect it
What is a diameter
a line that passes through the centre point of a circle and reaches the other end of the circumfrence
What is a chord?
A line that starts at one side of a circles circumference and passes through to the other but not necessarily through the centre point like a diameter
What is a segment?
The area of a circle between the circumference and a chord or an arc
How can you prove lines are perpendicular?
By calculating their gradients and ensuring that m1 times m2 = -1
How to check a right angle?
Use Pythagraus theorm
What is the hypotenuse?
The side of the triangle opposite the right angle