Podcast
Questions and Answers
What is the distance between any point of the circle and the centre called?
What is the distance between any point of the circle and the centre called?
What is the length of one circuit along the circle called?
What is the length of one circuit along the circle called?
What is a line segment whose endpoints lie on the circle called?
What is a line segment whose endpoints lie on the circle called?
What is the point equidistant from all points on the circle called?
What is the point equidistant from all points on the circle called?
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What is a ring-shaped object, the region bounded by two concentric circles called?
What is a ring-shaped object, the region bounded by two concentric circles called?
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What is any connected part of a circle called?
What is any connected part of a circle called?
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What is the region of the plane bounded by a circle called?
What is the region of the plane bounded by a circle called?
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What is a line segment joining the center of a circle with any single point on the circle called?
What is a line segment joining the center of a circle with any single point on the circle called?
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What is a region bounded by two radii of equal length with a common center and either of the two possible arcs called?
What is a region bounded by two radii of equal length with a common center and either of the two possible arcs called?
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What is an extended chord, a coplanar straight line intersecting a circle in two points called?
What is an extended chord, a coplanar straight line intersecting a circle in two points called?
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What does the word 'circle' derive from?
What does the word 'circle' derive from?
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What does Euclid's definition of a circle state?
What does Euclid's definition of a circle state?
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What is the region bounded by a chord and one of the arcs connecting the chord's endpoints called?
What is the region bounded by a chord and one of the arcs connecting the chord's endpoints called?
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What may be considered as open or closed, not containing their boundaries, according to the text?
What may be considered as open or closed, not containing their boundaries, according to the text?
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What did prehistoric people make that included stone circles and timber circles?
What did prehistoric people make that included stone circles and timber circles?
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What does the Egyptian Rhind papyrus give a method to find?
What does the Egyptian Rhind papyrus give a method to find?
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Study Notes
Circle Terminology
- The distance between any point of the circle and the centre is called the radius.
- The length of one circuit along the circle is called the circumference.
- A line segment whose endpoints lie on the circle is called a chord.
- The point equidistant from all points on the circle is called the centre or center.
- A ring-shaped object, the region bounded by two concentric circles is called an annulus.
- Any connected part of a circle is called an arc.
Circle Components
- The region of the plane bounded by a circle is called a disk.
- A line segment joining the center of a circle with any single point on the circle is called a radius.
- A region bounded by two radii of equal length with a common center and either of the two possible arcs is called a sector.
Circle Properties
- An extended chord, a coplanar straight line intersecting a circle in two points is called a secant.
- The word 'circle' derives from the Greek word 'kirkos', meaning 'ring' or 'circle'.
- Euclid's definition of a circle states that it is a set of points equidistant from a fixed point, called the center.
Related Concepts
- A region bounded by a chord and one of the arcs connecting the chord's endpoints is called a segment.
- Intervals and arcs may be considered as open or closed, not containing their boundaries.
- Prehistoric people made circular structures, including stone circles and timber circles.
- The Egyptian Rhind papyrus gives a method to find the area of a circle.
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Description
Test your knowledge about circles, their properties, and their applications in mathematics and everyday life with this quiz. From the radius to practical uses like wheels and gears, explore the fundamentals of circles!
