10 Questions
What is a circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
What is the distance between any point of the circle and the centre called?
The distance between any point of the circle and the centre is called the radius.
What is an annulus?
An annulus is a ring-shaped object, the region bounded by two concentric circles.
What is a chord in relation to a circle?
A chord is a line segment whose endpoints lie on the circle, thus dividing a circle into two segments.
What has the study of the circle inspired in mathematics?
The study of the circle has helped inspire the development of geometry, astronomy, and calculus.
True or false: A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
True
True or false: The circle is the basis for the wheel, which makes much of modern machinery possible.
True
True or false: The distance between any point of the circle and the centre is called the diameter.
False
True or false: An annulus is the region bounded by two concentric circles.
True
True or false: The circumference of a circle is the distance around it.
True
Study Notes
Circle Definition
- A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
- The distance between any point of the circle and the centre is called the radius.
History and Applications
- The circle has been known since before the beginning of recorded history.
- Natural circles are common, such as the full moon or a slice of round fruit.
- The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern machinery possible.
- In mathematics, the study of the circle has helped inspire the development of geometry, astronomy, and calculus.
Terminology
- Annulus: a ring-shaped object, the region bounded by two concentric circles.
- Arc: any connected part of a circle.
- Centre: the point equidistant from all points on the circle.
- Chord: a line segment whose endpoints lie on the circle, thus dividing a circle into two segments.
- Circumference: the distance around the circle.
Test your knowledge about circles and their properties in this quiz. Explore the concept of radius, circumference, and the relationship between circles and other shapes.
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