April 21, 2014
Area of Regular Polygons and Composite figures.
April 21, 2014
Area of Regular Polygons and Composite figures.
April 21, 2014
Area of Regular Polygons and Composite figures.
April 21, 2014
Area of Regular Polygons and Composite figures.
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
April 21, 2014
Area of Regular Polygons and Composite figures.
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
April 21, 2014
Area of Regular Polygons and Composite figures.
Radius
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
April 21, 2014
Area of Regular Polygons and Composite figures.
Radius
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
1
A= 2 aP
April 21, 2014
Area of Regular Polygons and Composite figures.
Radius
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
1
A= 2 aP
April 21, 2014
Area of Regular Polygons and Composite figures.
Radius
Apothem: a segment drawn from
the center of the polygon
perpendicular to the opposite
side.
1
A= 2 aP
Perimeter
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
T
U
S
a
R
P
V
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
U
S
a
R
P
V
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
R
P
V
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
R
P
V
3600
5 angles
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
V
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
Perimeter: 60 cm.
P
V
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
V
Perimeter: 60 cm.
60 cm divided by 5 congruent sides= 12cm.
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
Perimeter: 60 cm.
60 cm divided by 5 congruent sides= 12cm.
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
Perimeter: 60 cm.
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
360
a
Perimeter: 60 cm.
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
6cm
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
360
Tan 36=
a
Perimeter: 60 cm.
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
6cm
6
a
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
360
Tan 36=
6
a
a
Perimeter: 60 cm.
a = 8.26
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
6cm
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
360
Tan 36=
6
a
a
Perimeter: 60 cm.
a = 8.26
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
6cm
1
A= 2 aP
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
Find the area of regular pentagon
RSTUV if its perimeter is 60
centimeters.
First: find apothem
T
The measure of the central angle RAV is
U
S
a
3600
5 angles
Therefore m< RAP is 36o
R
P
12 cm
V
360
Tan 36=
6
a
a
Perimeter: 60 cm.
a = 8.26
60 cm divided by 5 congruent sides= 12cm.
RP= 6cm
6cm
1
A= 2 aP
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters.
15 in.
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
A
P
15 in.
D
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
a
A
P
15 in.
D
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
find central angle
a
A
P
15 in.
D
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
find central angle
find measure of < AEP
a
A
P
15 in.
D
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
find central angle
find measure of < AEP
a
A
P
15 in.
Use TRIG to find the measure of apothem.
D
April 21, 2014
Area of Regular Polygons and Composite figures.
Find the area of regular square
ABCD if its perimeter is 60
centimeters. First: find apothem
C
B
E
find central angle
find measure of < AEP
a
Use TRIG to find the measure of apothem.
1
A
P
15 in.
D
A= 2 aP
April 21, 2014
Area of Regular Polygons and Composite figures.
1
A= 2 aP
5√3