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Circle-and-its-parts

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Circle and terms related
to Circle
Ralph P. Ragunton
Grade 10 Mathematics Teacher
CIRCLE
is set of all points
in a plane that are
equidistant from a
given point called
the center of the
circle.
R
โŠ™R or Circle R
RADIUS
a line segment that
joins the center of
a circle to a point
on the circle.
Example of Radius/Radii:
๐‘ฉ๐‘จ, ๐‘จ๐‘ซ, ๐’‚๐’๐’… ๐‘ช๐‘จ
โŠ™A or Circle A
CHORD
a line segment
whose endpoints
lies on a circle.
Example of Chord:
๐‘ช๐‘ซ, ๐’‚๐’๐’… ๐‘ช๐‘ฌ
โŠ™A or Circle A
DIAMETER
is a chord that
passes through the
center of the circle.
Its length is twice as
long as the radius.
Example of Diameter:
๐‘ช๐‘ซ
โŠ™A or Circle A
ARC
is any portion of
the circumference
of a circle.
Circumference of a Circle
Is the perimeter or
distance around a circle.
Examples of Arc:
เทข or Arc CE
๐‘ช๐‘ฌ
โŠ™A or Circle A
ARC
is any portion of
the circumference
of a circle.
Additional Information
about Arcs:
โœ“ You can measure arc in terms
of length or opening(degrees).
โœ“ Circle itself is an arc
measuring 360°
โŠ™A or Circle A
SEMICIRCLE
180°
is an arc whose
measure is exactly
180° and its endpoints
are endpoints of a
diameter.
Example of Semicircle:
เทฃ ๐’‚๐’๐’… ๐‘ช๐‘ฌ๐‘ซ
เทฃ
๐‘ซ๐‘ฉ๐‘ช,
โŠ™A or Circle A
180°
MINOR ARC
110°
is an arc whose
measure is between
0° and 180°.
Example of Minor Arc:
เทข ๐‘ฉ๐‘ซ,
เทข ๐’‚๐’๐’… ๐‘ซ๐‘ฌ
เทข
๐‘ฉ๐‘ช,
70°
60°
โŠ™A or Circle A
MAJOR ARC
is an arc whose
measure is between
180° and 360°.
230°
Example of Major Arc:
เทฃ ๐’‚๐’๐’… ๐‘ฉ
เทฃ
๐‘ฉ๐‘ช๐‘ฌ,
๐‘ฌ๐‘ช
250°
โŠ™A or Circle A
CENTRAL ANGLE
an angle whose vertex
is the center of the
circle and sides are
the radii of the circle.
Example of Central
Angle:
∠๐‘ฉ๐‘จ๐‘ช ๐’‚๐’๐’… ∠๐‘ฉ๐‘จ๐‘ซ
โŠ™A or Circle A
INTERCEPTED ARC
is an arc by which it is
encased on either side
by a central angle or
an inscribed angle.
Examples of
Intercepted Arc:
เทข ๐‘ฉ๐‘ซ,
เทข ๐’‚๐’๐’… ๐‘ซ๐‘ฌ
เทข
๐‘ฉ๐‘ช,
โŠ™A or Circle A
Circle-xamples
13
Circle-xamples
Center
Answer/s:
โˆ™๐‘ฌ
โŠ™E or Circle E
Circle-xamples
Radius/Radii
Answer/s:
๐‘จ๐‘ฌ ๐’๐’“ ๐‘ฌ๐‘จ
๐‘ญ๐‘ฌ ๐’๐’“ ๐‘ฌ๐‘ญ
๐‘ฌ๐‘ช ๐’๐’“ ๐‘ช๐‘ฌ
โŠ™E or Circle E
Circle-xamples
Diameter
Answer/s:
๐‘จ๐‘ช ๐’๐’“ ๐‘ช๐‘จ
โŠ™E or Circle E
Circle-xamples
Chord
Answer/s:
๐‘จ๐‘ช ๐’๐’“ ๐‘ช๐‘จ
๐‘ฉ๐‘ช ๐’๐’“ ๐‘ช๐‘ฉ
๐‘ซ๐‘ช ๐’๐’“ ๐‘ช๐‘ซ
โŠ™E or Circle E
Circle-xamples
Chord
Answer/s:
๐‘จ๐‘ช ๐’๐’“ ๐‘ช๐‘จ
๐‘ฉ๐‘ช ๐’๐’“ ๐‘ช๐‘ฉ
๐‘ซ๐‘ช ๐’๐’“ ๐‘ช๐‘ซ
โŠ™E or Circle E
Circle-xamples
Semi-Circle
Answer/s:
เทฃ ๐’๐’“ ๐‘ช๐‘ซ๐‘จ
เทฃ
๐‘จ๐‘ซ๐‘ช
เทฃ ๐’๐’“ ๐‘จ๐‘ฉ๐‘ช
เทฃ
๐‘จ๐‘ญ๐‘ช
เทฃ ๐’๐’“ ๐‘ช
เทฃ
๐’๐’“ ๐‘ช๐‘ฉ๐‘จ
๐‘ญ๐‘จ
โŠ™E or Circle E
Circle-xamples
โŠ™E or Circle E
Minor Arc
Answer/s:
เทข ๐’๐’“ ๐‘ญ๐‘จ
เทข
๐‘จ๐‘ญ
เทข ๐’๐’“ ๐‘ฉ๐‘ญ
เทข
๐‘ญ๐‘ฉ
เทข ๐’๐’“ ๐‘ช๐‘ฉ
เทข
๐‘ฉ๐‘ช
เทข ๐’๐’“ ๐‘ซ๐‘จ
เทข
๐‘จ๐‘ซ
เทข ๐’๐’“ ๐‘ช๐‘ซ
เทข
๐‘ซ๐‘ช
Circle-xamples
โŠ™E or Circle E
Major Arc
Answer/s:
เทฃ ๐’๐’“ ๐‘ซ๐‘ช๐‘จ
เทฃ
๐‘จ๐‘ช๐‘ซ
เทฃ ๐’๐’“ ๐‘ซ๐‘จ๐‘ช
เทฃ
๐‘ช๐‘จ๐‘ซ
เทฃ
เทฃ
๐‘ช
๐‘จ๐‘ญ ๐’๐’“ ๐‘ญ
๐‘จ๐‘ช
เทฃ ๐’๐’“ ๐‘ฉ๐‘จ๐‘ช
เทฃ
๐‘ช๐‘จ๐‘ฉ
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