Content code
m1678
Slug (identifier)
circles-elementary
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Grades
Grade 5
Grade 6
Topic
Mathematics
Content
Contenu
Title
Circles
Title (level 2)
What is a circle?
Title slug (identifier)
definition-circle
Contenu
Content
Corps

A circle is a plane figure formed by a curved and closed line. All points on the curved line are located at an equal distance from the centre of the circle (O).

Example:

The yellow and pink dots are at an equal distance from the centre of the circle.

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Circle
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The different parts of a circle can be described using specific vocabulary.

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Corps

Here is a circle and its different parts.

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The Parts of a Circle
Title (level 2)
What is the circumference of a circle?
Title slug (identifier)
circumference
Contenu
Content
Corps

The circumference is the measurement of the line that forms the circle’s contour.

Example:

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The Circumference of a Circle
Title (level 2)
What is the radius of a circle?
Title slug (identifier)
radius
Contenu
Content
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The radius of a circle is a straight line (segment) connecting the centre of the circle (O) to any point on the circle’s contour.

Example:

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The Radius of a Circle
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The radius can be measured at any point on the circle.

Example:

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Different Radii of a Circle
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The measurement of the radius is always half the diameter.

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This circle has a diameter of |10| centimetres (cm). What is the measurement of the radius?

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The Diameter of a Circle
Solution
Corps
Divide the measurement of the diameter by |2.| ||10\div 2 = 5||image

The circle has a radius of |5| cm.

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Title (level 2)
What is the diameter of a circle?
Title slug (identifier)
diameter
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Content
Corps

The diameter of a circle is a straight line (segment) connecting two opposite points of the circle and passing through the centre (O).

Example:

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The Diameter of a Circle
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The diameter can be measured at any point on the circle.

Example:

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Different Diameters of a Circle
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The measurement of the diameter is always twice the radius.

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Corps

This circle has a radius of |6| centimetres (cm). What is the measurement of the diameter?

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The Radius of a Circle
Solution
Corps
Multiply the measurement of the radius by |2.| ||6\times2=12||image

The circle has a diameter of |12| cm.

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Title (level 2)
What is the central angle of a circle?
Title slug (identifier)
central-angle
Contenu
Content
Corps

The central angle of a circle is an angle (|\angle|) formed by 2 radii and the vertex is located at the centre of the circle (O).

Example:

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The Central Angle of a Circle
Corps

The central angle in the example is written |\angle|AOB.

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The measurement of the central angle is always between |0^\circ| and |360^\circ.|

To learn how to measure an angle using a protractor, see the concept sheet Measuring Angles with a Protractor.

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Title (level 2)
Qu'est-ce que le disque?
Title slug (identifier)
disque
Contenu
Content
Corps

Le disque est la surface délimitée par le cercle.

Exemple :

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Le disque d’un cercle
Title (level 2)
See Also
Title slug (identifier)
see-also
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