Precalc0011to0016-page33 - Formulas Square with side length...

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(Section 0.15: Plane and Solid Geometry) 0.15.1 SECTION 0.15: PLANE AND SOLID GEOMETRY LEARNING OBJECTIVES • Know formulas for area, perimeter, and circumference in plane geometry. • Know formulas for volume and surface area in solid geometry. • Be able to use dimensional analysis to check the validity of formulas. PART A: DISCUSSION • A number of geometric formulas must be memorized in preparation for calculus. We use them in the study of rates of change, related rates, optimization, and mass. PART B: PLANE GEOMETRY Description Plane Figure
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Unformatted text preview: Formulas Square with side length s Area = s 2 Perimeter = 4 s (the distance around) Rectangle with base b and height h (covers Square) Area = bh Perimeter = 2 b + 2 h Parallelogram with base b and height h (covers Rectangle, Square) Area = bh Triangle with base b and height h (think: half a Parallelogram) Area = 1 2 bh Trapezoid with bases b 1 and b 2 and height h Area = b 1 + b 2 2 ± ² ³ ´ µ ¶ h (the average of the bases times the height) Circle with radius r Area = ± r 2 Circumference = 2 r (the distance around)...
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