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Fundamentals of Mathematics, 2008a

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558 CHAPTER 9. MEASUREMENT AND GEOMETRY<br />

Multiplying a Denominate Number by a Whole Number (Section 9.4)<br />

To multiply a denominate number by a whole number, multiply the number part <strong>of</strong> each unit by the whole<br />

number and ax the unit to the product.<br />

Dividing a Denominate Number by a Whole Number (Section 9.4)<br />

To divide a denominate number by a whole number, divide the number part <strong>of</strong> each unit by the whole<br />

number beginning with the largest unit. Ax the unit to this quotient. Carry the remainder to the next<br />

unit.<br />

Polygon (Section 9.5)<br />

A polygon is a closed plane (at) gure whose sides are line segments (portions <strong>of</strong> straight lines).<br />

Perimeter (Section 9.5)<br />

The perimeter <strong>of</strong> a polygon is the distance around the polygon.<br />

Circumference, Diameter, Radius (Section 9.5)<br />

The circumference <strong>of</strong> a circle is the distance around the circle. The diameter <strong>of</strong> a circle is any line segment<br />

that passes through the center <strong>of</strong> the circle and has its endpoints on the circle. The radius <strong>of</strong> a circle is one<br />

half the diameter <strong>of</strong> the circle.<br />

The number π (Section 9.5)<br />

The symbol π, read "pi," represents the nonterminating, nonrepeating decimal number 3.14159... . For<br />

computational purposes, π is <strong>of</strong>ten approximated by the number 3.14.<br />

Formula (Section 9.5)<br />

A formula is a rule for performing a task. In mathematics, a formula is a rule that directs us in computations.<br />

Circumference Formulas (Section 9.5)<br />

C = π · d C ≈ (3.14) d<br />

C = 2 · π · r C ≈ 2 (3.14) r<br />

Area (Section 9.6)<br />

The area <strong>of</strong> a surface is the amount <strong>of</strong> square length units contained in the surface.<br />

Volume (Section 9.6)<br />

The volume <strong>of</strong> an object is a measure <strong>of</strong> the amount <strong>of</strong> cubic length units contained in the object.<br />

Area Formulas (Section 9.6)<br />

Triangle: A = 1 2 · b · h<br />

Rectangle: A = l · w<br />

Parallelogram: A = b · h<br />

Trapezoid: A = 1 2 · (b 1 + b 2 ) · h<br />

Circle: A = π · r 2<br />

Volume Formulas (Section 9.6)<br />

Rectangle solid: V = l · w · h<br />

Sphere: V = 4 3 · π · r3<br />

Cylinder: V = π · r 2 · h<br />

Cone: V = 1 3 · π · r2 · h<br />

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