Area of Plane Shapes

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Triangle  مثلث
Area = ½b × h
b = base
h = vertical height

 

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Square  مربع
Area = a2
a = length of side

Description: Description: http://www.mathsisfun.com/images/area/rectangle.gif

Rectangle  مستطيل
Area = w × h
w = width
h = height

 

Description: Description: http://www.mathsisfun.com/images/area/parallel.gif

Parallelogram  متوازي أضلاع
Area = b × h
b = base
h = vertical height

Description: Description: http://www.mathsisfun.com/images/area/trap.gif

Trapezoid (US)  شبه منحرف
Trapezium (UK)               
Area = ½(a+b) × h
h = vertical height

 

Description: Description: http://www.mathsisfun.com/images/area/circle.gif

Circle  دائرة
Area = πr2
Circumference=2
πr
r = radius

Description: Description: http://www.mathsisfun.com/images/area/ellipse.gif

Ellipse  بيضاوي
Area = πab

 

Description: Description: http://www.mathsisfun.com/images/area/sector.gif

Sector  قطاع
Area = ½r2θ
r = radius
θ = angle in radians

مثال:

ما هي مساحة المستطيل؟

Description: http://www.thecartech.com/subjects/Physics/Area_files/image009.png

معادلة المساحة:

المساحة = الطول × العرض
A = w × h
w = العرض = 5 cm
h = الطول = 3 cm

تكون المساحة: 

Area = 5 × 3 = 15 cm2

 

 

 

 

 

Volume of regular shapes  أحجام الأشكال المنتظمة

1- Cuboid (rectangular prism)

متوازي الأسطح

2- Sphere

الكرة

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3- Cylinder

الأسطوانة                                                         

4- Cube

 المكعب                                      

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5- Cone             

المخروط

6- Square based pyramid

هرم مربع القاعدة

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1- أوجد مساحة الأشكال التالية   

أوجد مساحة المثلث

 

 Description: http://www.thecartech.com/subjects/Physics/Area_files/image010.jpg

h = 12 cm, b = 5 cm

A

9

B

60

C

34

D

30

أوجد مساحة المربع

 

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a = 6 m

A

12

B

36

C

24

D

52

أوجد مساحة المستطيل

 

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h = 3 mm, w = 8 mm

A

24

B

11

C

22

D

12

أوجد مساحة الدائرة

 

Description: http://www.thecartech.com/subjects/Physics/Area_files/image015.png

r = 7 cm, π = 22/7

A

44

B

154

C

93

D

308

 

 

2- أوجد محيط الأشكال التالية:  المربع, المستطيل, الدائرة  

 

3- أوجد حجم الأشكال التالية   

أوجد حجم متوازي الأسطح

 

 Description: http://www.thecartech.com/subjects/Physics/volume_files/image015.jpg

h = 5 cm, d = 3 cm, w = 8 cm

A

24

B

16

C

40

D

120

أوجد حجم المكعب

 

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s = 0.2 m

A

0.6

B

0.008

C

8

D

0.04

أوجد حجم الأسطوانة

 

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h = 7 cm, r = 14 cm, π = 22/7

A

308

B

2156

C

4321

D

616

أوجد حجم الكرة

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r = 21 mm, π = 22/7

A

38808

B

1848

C

1386

D

29106