Parts of a Circle - PowerPoint PPT Presentation

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Parts of a Circle

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A segment is the part of a circle between a chord and an arc ... Chord. Copy the two diagrams ... How long are the chords that are joining the radii together? ... – PowerPoint PPT presentation

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Title: Parts of a Circle


1
Parts of a Circle
Aim To understand and know the vocabulary for
parts of a circle
2
The circumference of a circle is the distance
around the outside of a circle
Circumference
Diameter
The diameter of the circle is the distance from
one side to the other passing through the centre
of the circle
3
A chord is a line touching the circumference of
the circle at two points
Chord
Radius
The radius is the line connecting the centre of
the circle and the circumference
4
An arc is the part of the circumference at the
edge of a sector
A sector is the part of a circle between two
radii and an arc
Arc
Sector
5
A segment is the part of a circle between a chord
and an arc
Segment
A tangent is a straight line which touches a
circle at one point only
Tangent
6
Copy the two diagrams carefully into your book
Label your two diagrams using the words below
Radius
Diameter
Sector
Segment
Tangent
Arc
Circumference
Chord
7
Match up the word with the correct definition.
Radius
The part of a circle between two radii and an arc
Part of the circumference at the edge of a sector
Chord
Diameter
The distance around the outside of a circle
A straight line which touches a circle at one
point only
Arc
Segment
The distance from one side to the other passing
through the centre of the circle
The part of a circle between a chord and an arc
Circumference
Sector
A line touching the circumference of the circle
at two points
The line connecting the centre of the circle and
the circumference
Tangent
8
Extension Problems
  • Draw a circle with radius 4cm.
  • What is the length of the diameter of the circle?
  • How many sectors of 90 will fit inside the
    circle?
  • Draw five radii inside your circle that are
    equally spaced out around the circumference.
    Join up the ends of the radii to create a shape
    inside your circle.
  • What is the name of the shape that you have
    created inside your circle?
  • How long are the chords that are joining the
    radii together?
  • How big is the angle of each sector?
  • If you did the same as above with sectors of 45,
    what shape would you create inside your circle?
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