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Measurement- Linear

Measurement- Linear. Agriculture Mechanics I. Linear Measurements. Linear Comes from the word line. Linear Measure The measurement of lines A line is the distance between two points. It is one-dimensional (having length but no width or thickness).

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Measurement- Linear

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  1. Measurement- Linear Agriculture Mechanics I

  2. Linear Measurements • Linear • Comes from the word line. • Linear Measure • The measurement of lines • A line is the distance between two points. • It is one-dimensional (having length but no width or thickness). • The lines to be measured can be curved, irregular, or straight.

  3. Finding “Perimeters” • Perimeter- is the distance around the outside of an area or an object. • For Example, the boundaries of Tulare High School form its perimeter.

  4. The Rectangle • Rectangle- a four sided plane figure with four right angles. • Plane refers to the figure as being two-dimensional (having length and width). • All four sides are not equal. L W

  5. Finding the Perimeter of a Rectangle • There is a long and a short method • Long method- add up the lengths of all sides. • P = L + W + L + W • Short method- uses a formula • P = 2L + 2W (2 x length + 2 x width) • Example: • L = 10 • W = 5 • P = 2(10) + 2(5) • P = 30 10 5

  6. The Square • Square- is a plane figure with four equal sides and four right angles. • The formula for finding the perimeter of a square is P = 4 s • The letter “s” stands for the length of one side. • Example: Find the perimeter of a hog pen whose sides are 15 feet. • P = 4 s • P = 4 (15) • P = 60 feet 15’

  7. Finding the Circumference of Circles • Circle- a closed plane curve, every point of which is equally distant from a center point. • The circumference is the perimeter around the circle. • The diameter is the distance across the circle, through the center. • The radius is half of the diameter (from the center to the circle line).

  8. Parts of a Circle Radius Diameter Circumference

  9. Formulas of Circles • The formulas used for finding the circumference, diameter, and radius are derived from the relationship that exists between any circle’s circumference and diameter. • This relationship is referred to as the RATIO of the circumference to the diameter. • Circumference/Diameter = 3.14 (rounded off) • The number 3.14 has been named with the Greek letter π (pi) • C / d = π

  10. Formulas of Circles cont. • To find a circle’s circumference, the following formulas can be used: • C = π x diameter or C=πd • C = 2 x π x radius or C=2πr • Example: Find the circumference of a grain silo when the diameter is 25’. d = 25’ π = 3.14 C = ? C = π x d C = 3.14 x 25 C = 78.5’ 25’

  11. Formulas of Circles cont. • To find a circle’s diameter, the following formulas can be used: • d = C / π • d = 2r • Example: Find the diameter of a stock tank when the circumference is 30’. 30’ C = 30 π = 3.14 d = ? d = C / π d = 30 / 3.14 d = 9.55’ ?

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