The Imperial System

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The Imperial System The Imperial System is mainly used in the United States. Canada uses the metric system and the imperial system. The imperial system is used in some occupations, such as building construction. Many products are labelled with both metric and imperial units. The chart illustrates some basic imperial units and measuring tools. Measurement Units Abbreviations Linear inch in. or " foot ft. or ' yard yd. or yds. mile mi. Mass ounces oz. pounds lb. or lbs. ton T Capacity pint pt. quart qt. gallon gal. Volume cubic inch in.3 cubic yard yd.3 Temperature degree Fahrenheit °F Time seconds s minutes m Common Imperial Conversions Linear Measurement 12 inches = 1 foot 3 feet = 1 yard 1760 yards = 1 mile Mass 16 ounces = 1 pound 2000 pounds = 1 ton Capacity 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon Knowledge and Employability Studio Shape and Space: Measurement: Mathematics Metric and Imperial Units: ©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) The Imperial System 1/2 Practice: Converting Imperial Units 1. An outdoor education instructor bought 9 feet of rope to teach her students how to tie different knots. If there are eight students in her class, how many inches of rope does each child receive? HINT: 12 inches = 1 foot 2. Nancy is making potato salad for her family picnic. The recipe calls for three pounds of potatoes. The scale in the grocery store only measures weight in ounces. How many ounces of potatoes does she need for her recipe? HINT: 16 ounces = 1 pound 3. During a soccer tournament the concession expects to sell 100 cups of orange drink. How many quarts of orange drink should be prepared? HINT: 1 quart = 4 cups Think About … When might people have to convert from one unit to another in the workplace? At home? If you didn’t have an accurate measuring tool like a ruler, how would you estimate 3 feet? 8 ounces? 10 pounds? 1 cup? Knowledge and Employability Studio Shape and Space: Measurement: Mathematics Metric and Imperial Units: ©Alberta Education, Alberta, Canada (www.LearnAlberta.ca) The Imperial System 2/2 .

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Rules Relative to the Circle
RULES RELATIVE TO THE CIRCLE TO FIND DIAMETER I Multiply circumference by 0.3183. I Or divide circumference by 3.1416. TO FIND CIRCUMFERENCE I Multiply diameter by 3.1416. I Or divide diameter by 0.3183. TO FIND RADIUS I Multiply circumference by 0.15915. I Or divide circumference by 6.28318. TO FIND SIDE OF AN I Multiply diameter by 0.7071. INSCRIBED SQUARE I Or multiply circumference by 0.2251. I Or divide circumference by 4.4428. TO FIND SIDE OF AN I Multiply diameter by 0.8862. EQUAL SQUARE I Or divide diameter by 1.1284. I Or multiply circumference by 0.2821. I Or divide circumference by 3.545. SQUARE I A side multiplied by 1.1442 equals diameter of its circumscribing circle. I A side multiplied by 4.443 equals circumference of its circumscribing circle. I A side multiplied by 1.128 equals diameter of an equal circle. I Square inches multiplied by 1.273 equals circle inches of an equal circle. TO FIND THE AREA OF I Multiply circumference by 1/4 of the diameter. A CIRCLE I Or multiply the square of diameter by 0.7854. I Or multiply the square of circumference by 0.07958. I Or multiply the square of 1/2 diameter by 3.1416. TO FIND THE SURFACE I Multiply the diameter by the circumference. OF A SPHERE OR GLOBE I Or multiply the square of diameter by 3.1416. I Or multiply four times the square of radius by 3.1416. I To find cubic inches in a globe multiply cube of diameter by 0.5236.
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Yd.) 36 Inches = 1 Yard (Yd.) 5,280 Feet = 1 Mile (Mi.) 1,760 Yards = 1 Mile (Mi.)
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