Download - Section 9 1 notes (slide share)
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Circle – the set of all points in a plane a given distance away from a center
point.
A
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Circle – the set of all points in a plane a given distance away from a center
point.
A
A circle is named by its center point. For example: Circle
A or A.
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Circle – the set of all points in a plane a given distance away from a center
point.
A
A circle is named by its center point. For example: Circle
A or A.
Radius – the “given distance away from the center point” of a circle; a segment that joins the center to a
point on the circle.
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Circle – the set of all points in a plane a given distance away from a center
point.
A
A circle is named by its center point. For example: Circle
A or A.
Radius – the “given distance away from the center point” of a circle; a segment that joins the center to a
point on the circle.
Radius (r) Plural: Radii
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Sphere – the set of all points a given distance away from a center
point.
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Chord – a segment whose endpoints lie on on the circle.
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Chord – a segment whose endpoints lie on on the circle.
Example: DC
C
D
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Chord – a segment whose endpoints lie on on the circle.
Example: DC
A BC
D
Diameter – a chord that passes through the center of the circle. Example: AB
A diameter is twice the length of a radius.
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Secant – a line that contains a chord.
Example: ABA
B
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Secant – a line that contains a chord.
Example: ABA
B
**Note: A chord and a secant can be named using the same letters. The
notation tells you whether it is a secant or a chord. A secant is a line; a chord is a
segment.**
Secant: AB Chord: AB
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Tangent – a line that intersects a circle at exactly one point.
A
B
Example: AB
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Tangent – a line that intersects a circle at exactly one point.
Not a tangent
!
A
B
Example: AB
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Tangent – a line that intersects a circle at exactly one point.
Not a tangent
!
A
B
The point at which the circle and the tangent intersect is called the
point of tangency.
Example: AExample: AB
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Congruent Circles – circles with
congruent radii.5cm
5cm
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Congruent Circles – circles with
congruent radii.5cm
5cm
Concentric Circles – circles with the same center point.
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A polygon is inscribed in a circle and the circle is circumscribed about the polygon when all of the vertices of the polygon lie on the circle.
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A polygon is inscribed in a circle and the circle is circumscribed about the polygon when all of the vertices of the polygon lie on the circle.
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A polygon is inscribed in a circle and the circle is circumscribed about the polygon when all of the vertices of the polygon lie on the circle.
This pentagon is inscribed inside of the
circle.
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When each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon.
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When each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon.
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When each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon.
This circle is inscribed
inside of the pentagon.