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Chapter 3: C. Basic Geometry 21Examples of Area CalculationsA rectangle has length 6 cm and width 4 cm. Its area is then 6 cm ×4cm = 24 cm 2 .A square has sides of length 10 inches. Its area is 10 in × 10 in = 100 in 2 .A parallelogram has a height equal to 32 mm and a base of 40 mm. Itsarea is 32 mm × 40 mm = 1280 mm 2 .A trapezoid has a length of 12 inches at the top and 24 inches atthe base. Its height is 15 inches. Its area is then (12 in + 24 in) × 15 in/2= 270 in 2 .A regular hexagon (meaning one with all sides the same length) hassides of length 8.0 cm. Its area is then 2.597 × (8 cm) 2 = 2.597 × 64 cm 2= 166.208 cm 2 .A regular hexagon has a radius of 3.5 inches. Its area is then 3.464 ×(3.5 in) 2 = 3.464 × 12.25 in 2 = 42.434 in 2 .A right triangle (meaning that the triangle has a 90-degree angle) hasa base of 65 mm and a height of 120 mm. Its area is (1/2) × 65 mm ×120 mm = 3900 mm 2 .A triangle has a base of 34 cm and a height of 20 cm. Its area is (1/2) ×34 cm × 20 cm = 340 cm 2 .A circle has a radius of 25 inches. Its area is then p × (25 in) 2 =1963.495 in 2 . Note, when at all possible use a calculator to find areasthat use the number p (pi) to avoid round-off errors.A circular ring has an outer radius of 10.5 cm and an inner radius of3.5 cm. Its area is p × [(10.5 cm) 2 – (3.5 cm) 2 ] = p × (110.25 cm 2 – 12.25 cm 2 )= 307.8761 cm 2 .Part I.CPERIMETER AND CIRCUMFERENCE OF BASICGEOMETRIC SHAPESPerimeter (P) and circumference are expressed in terms of linear units, such ascentimeters (cm) or feet (ft). The term perimeter is used for the linear distancearound a shape that has angles; the term circumference is reserved for the lineardistance around a circle. Formulas for calculating perimeter and circumferenceare shown in Table 3.2.Examples of Perimeter and Circumference CalculationsA rectangle has length 6 cm and width 4 cm. Its perimeter is then (2 ×6 cm) + (2 × 4cm) = 20 cm.A square has sides of length 10 inches. Its perimeter is 4 × 10 in = 40 in.
22 Part I: Technical MathematicsTable 3.2 Calculation of perimeter and circumference of basic geometric shapes.Shape Example FormulaPart I.CRectanglewP = 2l + 2wlSquaresP = 4ssParallelogramaP = 2a + 2bTrapezoidbaP = a + b + c + dcdbRegular hexagon(all sidesequal length)P = 6srsRight triangleP = a + b + cacNote: a 2 + b 2 = c 2(Pythagorean theorem)bTriangleacP = a + b + cbContinued
Page 1 and 2: The Certified QualityInspector Hand
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Chapter 10D. Surface Plate Toolsand
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Chapter 10: D. Surface Plate Tools
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Part IIIInspection and TestChapter
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Chapter 18A. Basic Statistics and A
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202 Part IV: Quality AssuranceEXAMP
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204 Part IV: Quality AssuranceFinal
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208 Part IV: Quality AssuranceVaria
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210 Part IV: Quality Assurance98.7%
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212 Part IV: Quality Assurance3. ME
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Chapter 20C. Quality Improvement1.
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Chapter 21D. Quality Tools and Tech
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Chapter 22E. Resources1. ENVIRONMEN
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About the Authors 425preparation co
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xivList of Figures and TablesTable
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xviList of Figures and TablesFigure
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xviii List of Figures and TablesFig
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412 ReferencesChapter 7Bosch, J. A.
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414 ReferencesSimpson, J. A. 1981.
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416 ReferencesDeming, W. E. 1986. O
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418 ReferencesChapter 19Deleryd, M.
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How to Use This BookTo assist reade
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2 Test Questions5. Solve the follow
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4 Test Questions14. The figure belo
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6 Test Questions23. The volume of a
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8 Test Questions35. The vernier cal
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10 Test Questions48. Which of the f
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12 Test Questions62. What number in
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16 Test Questions85. A manufacturer
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20 Test Questions108. The quality t
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22 Test Questions121. Which of the
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24 Test Questions133. In an FMEA, w
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26 Test Questions144. Accessing inf
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Test Answer Key1. B28. C55. B82. C2
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INDEXIndex TermsLinksAacceptance nu
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Index TermsLinksCc chart 284-88cali
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Index TermsLinksDdata set, skew of
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Index TermsLinksfinal inspection 16
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Index TermsLinkshierarchical design
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Index TermsLinkslaw of sines 33-34l
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Index TermsLinksmicrometer caliper
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Index TermsLinksoutput, action on 2
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Index TermsLinksQQS-9000 standards
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Index TermsLinkssampling 150-61adva
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Index TermsLinkssurface finishgages
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Index TermsLinksvariance 208variati
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Appendix AQuality Inspector Certifi
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334 Part V: Appendices2. Measuring
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336 Part V: Appendices5. Verificati
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338 Part V: AppendicesComprehension
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368 Part V: AppendicesUnits of Leng
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374 Part V: AppendicesUnits Square
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376 Part V: AppendicesUnits of Capa
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378 Part V: AppendicesApothecaries
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380 Part V: AppendicesUnits of Area
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Appendix HSample Tables ofANSI/ASQ
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Lot or Batch SizeS-1Special Inspect
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Sample SizeCode LetterABCDEFGHJKLMN
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