Mathematics lesson in Circles and its parts.ppt
shahanieabbat3
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Aug 06, 2024
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About This Presentation
A mathematics lesson in circles and its parts. A mathematics lesson in circles and its parts.A mathematics lesson in circles and its parts.A mathematics lesson in circles and its parts.A mathematics lesson in circles and its parts.A mathematics lesson in circles and its parts.A mathematics lesson in...
Slide Content
CIRCLE
MATHEMATICS
10
2
ND
QUARTER
MATHEMATICS
10
2
ND
QUARTER
Vocabulary
circle
center of a circle
arc
radius
diameter
chord
central angle
sector
circle
center of a circle
arc
radius
diameter
chord
central angle
sector
Vocabulary
circle
center of a circle
arc
radius
diameter
chord
central angle
sector
circle
center of a circle
arc
radius
diameter
chord
central angle
sector
A circle is the set of all points in a plane that
are the same distance from a given point,
called the center of a circle. This distance
is called the radius of the circle.
A circle is named by its center.
Circle A or ⊚ A
B
A
are the same distance from a given point,
called the center of a circle. This distance
is called the radius of the circle.
A circle is named by its center.
Circle A or ⊚ A
B
A
The outside of the circle is called
circumference
The circumference is the distance
around the circle.
circumference
The circumference is the distance
around the circle.
The midpoint of a circle is
centre
centre
The line drawn from the centre
to the circumference is …
radius
to the circumference is …
radius
The line drawn from one circumference
through the centre to another
circumference is …
radius
diameter
The diameter cuts the circle in half!
through the centre to another
circumference is …
radius
diameter
The diameter cuts the circle in half!
A line that connects one point on the edge
of the circle with another point on the
circle is called ….
chord
The chord does not passes through
the centre of the circle.
of the circle with another point on the
circle is called ….
chord
The chord does not passes through
the centre of the circle.
A segment ie. part of the
circumference of the circle is
called an ...
a
r
c
circumference of the circle is
called an ...
a
r
c
A line that intersects a circle in exactly
one point.
Tangent
The tangent pass through the
circumference
one point.
Tangent
The tangent pass through the
circumference
Parts of the Circle
centre
radius
diameter
chord
arc
centre
radius
diameter
chord
arc
Parts of the Circle
Sector
Arc
A sector is
the part of
a circle
between
two radii
and an arc
An arc is the part of the circumference
at the edge of a sector
Arc
A sector is
the part of
a circle
between
two radii
and an arc
An arc is the part of the circumference
at the edge of a sector
What color is the…
Radius?
Diameter?
Arc?
Chord?
How did you know? Ps/nv x2
wb
Radius?
Diameter?
Arc?
Chord?
How did you know? Ps/nv x2
wb
Use P below to identify and name
ʘ
the following:
1. 2 radii
2. a diameter
3. 2 chords
4. 2 semicircles
5. 2 minor arcs
6. 2 major arcs
7. 2 central angles
8. 2 inscribed angles
ʘ
the following:
1. 2 radii
2. a diameter
3. 2 chords
4. 2 semicircles
5. 2 minor arcs
6. 2 major arcs
7. 2 central angles
8. 2 inscribed angles
Use O below to identify and name
ʘ
the following:
1. radius
2. diameter
3. chord
4. semicircle
5. minor arcs
6. major arcs
7. central angles
8. inscribed angles
ʘ
the following:
1. radius
2. diameter
3. chord
4. semicircle
5. minor arcs
6. major arcs
7. central angles
8. inscribed angles
)
Central angle
Sector
A central angle of a circle
is an angle formed by two
radii. A sector of a circle
is the part of the circle
enclosed by two radii and an
arc connecting them.
The sum of the measures of all
of the central angles in a circle
is 360°. We say that there are
360° in a circle.
What is the sum of all central angles in a circle?
Central angle
Sector
A central angle of a circle
is an angle formed by two
radii. A sector of a circle
is the part of the circle
enclosed by two radii and an
arc connecting them.
The sum of the measures of all
of the central angles in a circle
is 360°. We say that there are
360° in a circle.
What is the sum of all central angles in a circle?
Name the parts
of circle M.
1.Identify what you are looking for.
2.Name your starting point.
3.Name your ending point.
O
N
P
Q
R
M
A. radii:
B. diameters:
C. chords:
MN, MR, MQ, MO
NR, QO
NR, QO, QN, NP
Radii is the plural form of radius.
Reading Math
How did I/we name the radii? ps
How did I/we name the diameter?
How did I/we know ___ was a chord?
of circle M.
1.Identify what you are looking for.
2.Name your starting point.
3.Name your ending point.
O
N
P
Q
R
M
A. radii:
B. diameters:
C. chords:
MN, MR, MQ, MO
NR, QO
NR, QO, QN, NP
Radii is the plural form of radius.
Reading Math
How did I/we name the radii? ps
How did I/we name the diameter?
How did I/we know ___ was a chord?
Name the parts of circle M.
A. radii:
B. diameters:
C. chords:
GB, GA, GF, GD
BF, AD
A
B
C
D
E
F
G
H
AH, AB, CE,
BF, AD
A. radii:
B. diameters:
C. chords:
GB, GA, GF, GD
BF, AD
A
B
C
D
E
F
G
H
AH, AB, CE,
BF, AD
The circle graph shows
the results of a survey
about favorite types of
muffins. Find the
central angle measure
of the sector that
shows the percent of
people whose favorite
type of muffin is
blueberry.
How did I find the measure of the central angle? Ps/nv
Why did I multiply by 360
o
? Ps/ nv
1.Read the problem
2.Identify the percentage of the sector
3. Change the percent to a decimal
4. Multiply the decimal by 360
o
the results of a survey
about favorite types of
muffins. Find the
central angle measure
of the sector that
shows the percent of
people whose favorite
type of muffin is
blueberry.
How did I find the measure of the central angle? Ps/nv
Why did I multiply by 360
o
? Ps/ nv
1.Read the problem
2.Identify the percentage of the sector
3. Change the percent to a decimal
4. Multiply the decimal by 360
o
The circle graph
shows the results of a
survey about favorite
types of muffins. Find
the central angle
measure of the sector
that shows the
percent of people
whose favorite type
of muffin is banana
nut.
How did we find the measure of the central angle? ps/nv
Why did we multiply by 360
o
? Ps/ nv
1.Read the problem
2.Identify the percentage of the sector
3. Change the percent to a decimal
4. Multiply the decimal by 360
o
shows the results of a
survey about favorite
types of muffins. Find
the central angle
measure of the sector
that shows the
percent of people
whose favorite type
of muffin is banana
nut.
How did we find the measure of the central angle? ps/nv
Why did we multiply by 360
o
? Ps/ nv
1.Read the problem
2.Identify the percentage of the sector
3. Change the percent to a decimal
4. Multiply the decimal by 360
o
Closure
Name the parts of circle B.
1. radii
2. diameter(s)
3. chord(s)
4.
What is the measure of the central angle of a
circle when the sector represents 25% of the
circle?
What is something you learned today about
circles?
BA, BC
AC
DE, FE, AC
Name the parts of circle B.
1. radii
2. diameter(s)
3. chord(s)
4.
What is the measure of the central angle of a
circle when the sector represents 25% of the
circle?
What is something you learned today about
circles?
BA, BC
AC
DE, FE, AC
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