Higher: Students will learn how to recognise and use the equation of a circle with centre at the origin, find the equation of a tangent to a circle at a given point. Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.
Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results.
radius
centre
tangent
circumference
diameter
gradient
perpendicular
reciprocal
coordinate
equation
substitution
chord
triangle
isosceles
angles
degrees
cyclic quadrilateral
alternate
segment
semicircle
arc and theorem
Civil Engineer, Designer, Architect , Surveyor, Pilot, Construction, Landscape Developer, Graphic Designer, Navy.
The circle is a spiritual symbol of wholeness, used in astrology and religion. The history of the mathematical measurement of angles is thought to date back to 1500 BC in Egypt and was used in the building of the pyramids. The number pi (3.14159) is the ratio of a circle’s circumference to its diameter and has been represented by the Greek letter π since the mid-18th century. The circle is regarded in many cultures as a protective force.
