Measuring Units Metric units Meanings of Latin abbreviations yotta,(Y),meaning 1024 deci,(d),meaning 10-1 zetta,(Z),meaning 1021 centi,(c),meaning 10-2 exa,(E),meaning 1018 milli,(m),meaning 10-3 peta,(P),meaning 1015 micro,(u),meaning 10-6 tera,(T),meaning 1012 nano,(n),meaning 10-9 giga,(G),meaning 109 pico,(p),meaning 10-12 mega,(M),meaning 106 femto,(f),meaning 10-15 kilo,(k),meaning 103 atto,(a),meaning 10-18 hecto,(h),meaning 102 zepto,(z),meaning 10-21 deka,(da),meaning 101 yocto,(y),meaning 10-24 Units of Length 10 millimeters (mm)= 1 centimeter (cm) 10 centimeters= 1 decimeter (dm) = 100 millimeters 10 decimeters= 1 meter (m) = 1000 millimeters 10 meters= 1 dekameter (dam) 10 dekameters= 1 hectometer (hm) = 100 meters 10 hectometers= 1 kilometer (km) = 1000 meters Units of Area 100 square millimeters (mm2) = 1 square centimeter (cm2) 100 square centimeters= 1 square decimeter (dm2) 100 square decimeters= 1 square meter (m2) 100 square meters = 1 square dekameter (dam2) = 1 are 100 square dekameters= 1 square hectometer (hm2) = 1 hectare (ha) 100 square hectometers= 1 square kilometer (km2) Units of Liquid Volume 10 milliliters (mL)= 1 centiliter (cL) 10 centiliters= 1 deciliter (dL) = 100 milliliters 10 deciliters = 1 liter1 = 1000 milliliters 10 liters= 1 dekaliter (daL) 10 dekaliters = 1 hectoliter (hL) = 100 liters 10 hectoliters= 1 kiloliter (kL) = 1000 liters Units of Volume 1000 cubic millimeters (mm3)= 1 cubic centimeter (cm3) 1000 cubic centimeters= 1 cubic decimeter (dm3) = 1 000 000 cubic millimeters 1000 cubic decimeters= 1 cubic meter (m3) = 1 000 000 cubic centimeters = 1 000 000 000 cubic millimeters Units of Mass 10 milligrams (mg)= 1 centigram (cg) 10 centigrams = 1 decigram (dg) = 100 milligrams 10 decigrams = 1 gram (g) = 1000 milligrams 10 grams = 1 dekagram (dag) 10 dekagrams = 1 hectogram (hg) = 100 grams 10 hectograms = 1 kilogram (kg) = 1000 grams 1000 kilograms= 1 megagram (Mg) or 1 metric ton(t) TABLES OF ENGLISH UNITS OF MEASUREMENT Units of Length 12 inches (in)= 1 foot (ft) 3 feet= 1 yard (yd) 16-1/2 feet= 1 rod (rd), pole, or perch 40 rods= 1 furlong (fur) 1852 meters= 6076.115 49 feet (approximately) Units of Area 144 square inches (in2)= 1 square foot (ft2) 9 square feet= 1 square yard (yd2) = 1296 square inches 272-1/4 square feet= 1 square rod (sq rd) 160 square rods= 1 acre = 43 560 square feet 640 acre= 1 square mile (mi2) Units of Volume 1728 cubic inches (in3)= 1 cubic foot (ft3) 27 cubic feet= 1 cubic yard (yd3) Surveyors Chain Units of Measurement 0.66 foot (ft)= 1 link (li) 100 links= 1 chain (ch) = 4 rods 80 chains = 320 rods Units of Liquid Volume 4 gills (gi)= 1 pint (pt)= 28.875 cubic inches 2 pints= 1 quart (qt) = 57.75 cubic inches 4 quarts= 1 gallon (gal) = 231 cubic inches = 8 pints = 32 gills International System (SI) •the meter for distance, •the kilogram for mass, •the second for time, •the ampere for electric current, •the kelvin for temperature, •the mole for amount of substance, and •the candela for intensity of light. Some Derived Units of the International System (SI) Derived UnitMeasuresDerivationFormal Definition hertz (Hz)frequency/ss-1 newton (N)forcekg•(m/s2)kg•m•s-2 pascal (Pa)pressureN/m2kg•m-1•s-2 joule (J)energy or workN•mkg•m2•s-2 watt (W)powerJ/skg•m2•s-3 coulomb (C)electric chargeA•sA•s volt (V)electric potentialW/Akg•m2•s-3•A-1 farad (F)electric capacitanceC/Vkg-1•m-2•s4•A2 ohm (Ω)electric resistanceV/Akg•m2•s-3•A-2 siemens (S)electric conductanceA/Vkg-1•m-2•s3•A2 degree Celsius (°C)temperatureK - 273.15K http://ts.nist.gov/ts/htdocs/230/235/appxc/appxc.htm الدائرة:
المحيط = × القطر = 2 r المساحة = × (القطر) 2 = r2 الشكل البيضاوي المحيط = × ½ (القطرالاكبر+القطر الاصغر)= (1r+r2) المساحة= × ¼ (القطرالاكبر× القطر الاصغر)= r2×r1 × أحجام بعض الأجسام الهندسية Geometric Solid- - - - - المعادلة- - - - -المجسم الهندسي Cylinder ح = م ق× ع V= L ABاسطوانة Paraboloid ح = ½ م ق× ع V= ½ L AB قطع مكافئ Coneح = ⅓م ق× ع V= ⅓ L AB مخروط Paraboloid frustum{ح = ½ (م ك +م ص)×ع V=½ L) AA+ AB( ح = م م× ع V= L AM} قطع مكافئ ناقص 
بعض الاستخدامات لحساب المثلثات تشابه المثلثات والتناسب ∆ abc و∆ ADE متشابهان إذا إ ذا مسائل للمراجعة ( احسب النتائج لاقرب رقمين عشريين) 1.ماهو قطر الدائرة التى محيطها 100 سم ؟ 2.دائرة نصف قطرها 9.42 سم، ماهي مساحتها؟ 3.احسب مساحة الدائرة التي محيطها 50 سم؟ 4.ماهو قطر الدائرة التي مساحتها 6.28 سم2. 5.احسب بالسم3 حجم الاسطوانة التي يبلغ قطرها 50 مم وارتفاعها 0.5 م . 6.ما هو حجم القطع المكافئ الناقص في الشكل أعلاه بالسم3.
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