I

Shape and Spacebevelop and apply a formula for determining the area of:

• Triangles• Parallelograms• Circles

bemonstrate an understanding of circles by:

• bescribing the relationships among radius, diameter and circumference• Relating circumference to pi• betermining the sum of central angles• Constructing circles with a given radius or diameter• Solving problems involving radii, diameters and circumferences of circles.

u Perform geometric constructions, including:

• Perpendicular line segments• Parallel line segments• Perpendicular bisectors• Angle bisectors.

E Identify and plot points in the four quadrants of the Cartesian plane, using

integral, ordered pairs.

Perform and describe transformations (translations, rotations and

reflections) of a 2b shape in all four quadrants of a Cartesian plane.

Some Terms You Should Know

parallel: lines that travel in the same direction and never intersect

perpendicular: meeting at a 900 angle

1

parallelogram: a four sided polygon with opposite sides parallel aridequal in length.

base: the bottom edge of a polygon

height: the length of the line perpendicular to the base that meetsthe opposite line of the polygon

U,

a)aExLUCCD0UCa)Ea)U,

CDa)N-c4-’CD

4-’a)Ea)0

a)0ExLUCDE0L1a)0CD

U,

PARTS OF A CIRCLE:

Diameter:

Radius:

Pi (ir)

Shape Formula Examples

Name: Score:

Teacher--_

Date:

Identify and Calculate the Area and Perimeter for each Quadrilateral.

a = 64.42 cm

c=95cm h=59cma = 54.43 cmc=87cm h=52cm

a = 51.62cm

c=8lcm h=47cm

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

4)

a = 45.56 cm

c=88cm h4lcma = 61 cmc=9lcm h=58cm

6)

a = 49.66 cmc=99cm h=46cm

Area:

Perimeter:

Type:

7)

a 60.55 cm

c89cm h57cm

Area:

_____________

Perimeter:

_____________

Type:

_____________

8)7

a =49.71cm

c80cm h=45cm

Area:

Perimeter:

Type:

9)

a = 52.33 cm

c=82cm h=49cm

Area:

_______________

Pen meter:

_______________

Type:

_____________

U Math-Aids.Com

1)

C

2) /1/h / a/7

C C

>45)

/C C

C

Area:

jerimeter:

Type:

C

Area:

Perimeter:

Type:

Name:

Teacher

Score:

Date:

Identify and Calculate the Area and Perimeter for each Quadrilateral.

1)

a = 5.18cm

c=8cm h4.8cma = 5.23 cmc=9.9cm h=4.9cm

a = 5.9 cm

c = 8.7 cm

Area:

Perimeter:

Type:

4)

a = 5.63 cm

c=8.5cm h=5.3cm

Area:

Perimeter:

Type:

6),/

a 6.41 cm

c8.9cm h=5.9cm

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

a = 5.36 cmc=9.lcm h5.lcm

a=5.58cm

c=8.2cm h=5.2cma = 4.94 cm

c=8.6cm h=4.5cm

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

2)

C

3)

C C

h = 5.4 cm

Area:

Perimeter:

_______________

Type:

5)

a=5.52cmc=9.7cm h=5cm

7) 8) 9)

Area:

______________

Perimeter:

_______________

Type:

____________

Math-Aids.Com

Name: Date:

5. 1 The Area of a Parallelogram

Develop and apply the formula for the area of aparallelogram.

j\t-Home HelpThe height is a line segmentdrawn to form a right angle withone side of a shape.

The base is the side of a shapethat is measured to calculate thearea or perimeter of the shape;any side of a shape can be thebase of the shape.

For example,

/eiht

/base

The formula for the area of aparallelogram with base b andheight Ii is A = b x h.

3. a) Estimate the area of each parallelogram, in square units,by counting the squares.

/A./

/::B;:

b) Calculate the area of each parallelogram, in square units,using a formula.

j1. Fill in the blanks for the parallelogram below.

A / height

_______________

/ — 4 units // / base

_______

6 unitsarea

___________________

2. Complete the table.

Area ofBase Height Parallelograma) 3cm 5cm

b) 2m 16m2

C) 6cm 30cm2

d) 5.3m 3.2m

e) 2.4 mm 3.6 mm2

f) 1.2 dm 0.6 dm2

Copyright © 2008 by Nelson Education Ltd. Chapter 5: Measurement 45

Name: Score:Teacher Date:

Identify and Calculate the Area and Perimeter for each Triangle.

2)

a=79cm b5lcm

c = 94.03 cm

a=88cm b=43cm

c = 97.94 cm

a=82cm b=59cm

c = 101.02cm

bL

Area:

Perimeter:

Type:

b

Area:

Perimeter:

Type:

6)

a76cm b45cm

c = 88.32 cm

a=73cm b=58cm

c = 93.24 cm

a=84cm b=47cm

c = 96.25 cmArea:

Perimeter:

Type:

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

b8)

bE<

9)

aa=9Ocm b6Ocm

c 108.17cma=8lcm b=4lcm

c = 90.79 cm

Area:

_________

Perimeter:

__________

Type:

__________

a77cm b=5Ocm

c=91.81 cm

Area:

__________

Perimeter:

__________

Type:

_________

1)

b%<

a a

b

Area:

Perimeter:

Type:

4) 5)

C

Area:

Perimeter:

jpe:

DI-Dj Math-Aids.Com

Name Score:Teacher Date:

Identify and Calculate the Area and Perimeter for each Triangle.

b

2) 3)

a

a=9cm b4.9cm

C = 10.25cm

a=7.lcm b=4.lcm

c = 8.2 cm

a=7.5cm b=4.6cm

c = 8.8 cm

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

4)

bEN

5) 6)

a7.3cm b=5.7cm

c = 9.26 cm

a=5.92cm b=8.42cm

c8.2cm h=5.6cm

a=4.83cm b=8.44cm

c9.2cm h=4.4cm

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

Area:

Perimeter:

Type:

8) 9)

a = 5.97 cm b = 8.27 cm

c8.5cm h5.5cm

Area:

____________

Perimeter:

_____________

Type:

____________

a=8.6cm b=4cm

c = 9.48 cm

Area:

_________

Perimeter:

_________

Type:

_________

a=6.33cm b=8.45cm

c9cm h=5.7cm

Area:

_____________

Perimeter:

_____________

Type:

____________

C

a

C

j Math-Aids.Com

Name:Date:

5.2 The Area of a Triangle

Develop and apply the formula for the area of a triangle.

1. Calculate the area of each triangle.

a)

b)

6m

Complete the table.

Base Height Area of Triangle

a) 6cm 12cm

b) 8mm 32mm2

c) 120m 1200m2

d) 14.2 cm 12.3cm

At-Home I HelpYou can think of a triangle as

being half a rectangle or a

parallelogram.

For example, the shaded triangle

below is half the size of a

rectangle with the same height

and base.

5cm%%j

10cm

The area of a triangle is half the

area of a rectangle or

parallelogram with the same

height and base.

Area of a triangle:

A = (b x h) ÷ 2

3. Calculate the area of each shape.

A 4cm

B

a) triangle ABE

b) triangle ECD

c) triangle BEC

)

7 cm

E 2cm

F C

46 Chapter 5: MeasurementCopyright 0 2008 by Nelson Education Ltd.

N

Circle Geometry

Parts of a Circle

circumference: the distance around the outside of a circle. Itis similar to perimeter in rectangles, triangles and parallelograms.

diameter: a line segment that joins two points along thecircumference of a circle, and passes through the center. Youcould also call it the line that cuts a circle exactly in half.

radius: half of the diameter. it is a line drawn from the centerof a circle to any point around its circumference.

pi (it): the ratio of the circumference of a circle to itsdiameter.

• If you were to take a string and make it the exact length ofa circle’s diameter, how many lengths would it take to goaround the outside (circumference) of that circle?

• In every case, the answer is 3.14 times. This means thatthe circumference of a circle is equal to 3.14 times thediameter of the same circle.

• The number 3.14 is a constant which is true for all circlesand is given the name p1 and the symbol it.

• To find the circumference of any circle if you know thediameter, you may use the formula circumference is equal toTF times the diameter, or

• This formula may be rearranged to find the diameter if youalready know the circumference

Name:

If the diameter of a circle is 12 cm, what is the radius?

Formulas you may use:

You may use your yellow formula sheet

Label all of the parts of the circle:

radius, diameter, circumference,

If the radius of a circle is 7 cm, what is the diameter?

What number to we use to represent p1(11)?

What is the relationship between the diameter of the circle and thecircumference?

What is the relationship between the radius of a circle and the area of acircle?

Circumference

What is the circumference of the following circles?

Show all work - including the formula

LZET Lc=1 LZ1

Name:

Teacher

Score:

Date:

Identify the elements for each problem.

Circle:

__________

Radius:

__________

Diameter:

_________

P

Circle:

__________

Radius:

__________

Diameter:

_________

Circle:

Radius:

Diameter:

Circle:

__________

Radius:

__________

Diameter:

_________

H

JL

F

2)cD

a

1)

Circle:

__________

Radius: h c

Diameter: VL.

Circle:

Radius:

Diameter:

5)

3)

Circle:

__________

Radius:

__________

Diameter:

__________

G

6)

P

N

8)7)

Circle:

Radius:

Diameter

L

F

9)

Circle:

Radius:

Diameter:

G

Li Math-AidsCom

Name:

Teacher

Score:

Date:)

Solve the missing elements for each problem. Use 3.14 for P1.

Radius:

Diameter:

Circumference:

Area:

Radius:

Diameter:

Circumference:

Area:

F

1)C

Radius:

______________

Diameter: 14 cm

Circumference:

Area:

0

4 cm

£

4)

40 cm

c

2)

Radius:

Diameter:

Circumference:

Area:

5)

Radius:

Diameter:

Circumference:

Area:

8)

Radius:

Diameter:

Circumference:

Area:

36 cm

U

cm10

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p

3)

Radius:

Diameter:

Circumference:

Area:

6)

Radius:

Diameter:

Circumference:

Area:

9)

Radius: 6

Diameter:

Circumference:

Area:

9 cm

7)N

7 0

16 cm

R

16 cmF

cm

Math-AidsCom

Name:

cIe- AreaD

Score:

F—

Example:

Areaofacircle=nr2

Radius Cr) = 4 ft-

Area =nr2

=nx4x4

Area=16,Tft1

-

-

Find the exact area of each circle.1)

- 2)

4)

Area=

5)

Area= )

6)

Area= ( :

7)

Area=

8)

Area= )

9)

Area= ( )

Area= Area= Area= ( )

3)

Printable Math Worksheets @ www.mathworksheets4kids.com

Name:

Ccircle - AreaD

Score:

,

\Example:Area of a circle = nr2

Dia meter =44 ftRadius (r) = 21.5 ft

Area = nr2

= 3.14x21.5 x21.5

Area= 1451.47 ft2—

—

Find the area of each circle. Round the answer to two decimal places. (use n =314)

2)

Area= :

Area= ( )

Area= )

3)

Area=

1)

4)

7)

Area= ‘1

5) 6)

Area=

8)

Area= )9)

Area= ) Area=

Printable Math Worksheets @ www.mathworksheets4kids.com

Name

(Circle - Are’J

Score:

—\

Example:Area of a circle = nr2

Radius Cr> 2.75 ft

Area = nr’

= 3.14 x 2.75 x 2.75

Area = 23.75 ft2

‘- .-

Find the area of each circle. Round the answer to two decimal places. ( use n = 3.14)

2)

4)

Area=

5)

Area=

6)

Area= (

Area= Area=

Area= Area=

1) 3)

7)

Area=

8) 9)

Area=

Printable Math Worksheets @ www.mathworksheets4kids.com

Name:

xedShaes

Score:

lift

Area =_______

Area =

12)

2ft

Area =_______

Area =

1i2in

Printa be Math Worksheets @ wwwmathworksheets4kidscom

Find the area of each figure.

1)

m

Area =

C

4)

Area =

3)

6)

9)

6 in

vi

3

2)

5)

8)

11)

Area = Area = Area =

7)

10)

Area =________ Area =

>‘

6 yd

Area =________

Name:

___________________

Find the area of each figure.

C AnswerKey

Score:

Area = 36 in2 Area= 50m2

C

2 ft

Area= 20ft2

10)

Area =144n cm2

11)

Area= 121 ft2

12)

Area= 72m2

12 in

6 yd

Area= 78yd_ Area = 35 cm2 Area = 84 in2

Area= 55m2

1)

4)

7)

Area = 64n cm2

2)

5)

8)

0’

3)

6)

9)

6in

10 m

11 ft

Area j4_

Printabe Math Worksheets @ wwwmathworksheets4kidscom

Mixed Shapes

2 in

Area = Area =

Printabe Math Worksheets @ wwwmathworksheets4kidscom

Name: Score:

Find the area of each figure.

1)

3

Area =

12 m

Area =_______

m

61n

Area =

7 yd

2) 3)

4) 5) 6)

7) 8) 9)

11) 12)

Area

_______

Area =Area

_______

C

0

Area

________

Area

10)

4::a

Area =

7 ft

Area =

Name:

Find the area of each figure.

1) 2)

CAnswer EJ

Score:,

3)

4)

Area = 36rr cm2

>‘

7 yd

5)

12 m

Area= 144m2

3

6)

6 in

Area= 84 in2

z

Area Area= 20hi2 Area = 81 m2

Area = 63 ft2 Area = lOOn m2 Area = 30 cm2

Printabe Math Worksheets @ wwwmathworksheets4kids.com

Area= 2iyd2

0

7)

10)

Area = 32 cm2

9m

Area= i6nft2

2 in5 yd

8)

11)

9)

12)

C’

7ft cm

Grade 7 Math — Measurement Review

Find Area

Find Area

Find Area

3r

J(OCjY.i

Find Area

Find Circumference

Grade 7 Math — Measurement Review

AREA of Shapes

3cm

6cm 5cm

m 0I.

Vba 0) V CD (‘a