Calculating chord length of an arc
[DOC File]High School Math 3 Unit 5: Circles
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The connection between the length of the arc of a circle, the central angle of the circle that intercepts this arc, and the radius of the circle investigated in this unit plays a critical role in the development of trigonometric functions in Math 3. Desired Outcomes Standard(s): …
[DOC File]Instructional Unit: Properties of Circles
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Finally, students will use this sketch to develop an equation relating chord length and distance. One possible solution method is shown below. The second leg of the right triangle shown is half of the chord. By the Pythagorean theorem the length of that leg (half of the chord) is √(r2 – x2). Thus, the length of the chord is 2√(r2 – x2).
[DOC File]CHAPTER 19
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This method produces a development pattern with an arc length (A) slightly smaller than a true development since the chord distance between base divisions is smaller than the arc distance. When an accurate development is required of a right circular cone, the arc angle (A) can be calculated.
[DOC File]Metes and Bounds Descriptions – Describing Curves
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A curve is a part of the arc of a circle. It is limited at each end by the radii of the circle which form a central angle at the center of the circle. Curves are described by the following terms: A. Radius is the distance from a point on the curve to the center of the circle. B. Length. of curve is the linear measurement of the curve. C. Concavity
[DOC File]1
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b. chord midpoint, PC, PI. c. PI, chord midpoint, PC *d. PC, chord midpoint, radius point. 4. Which best explains why the following formula works? L = (Delta/D)*100 @ Since the vehicle covers one station for each increment of D, Delta/D gives the decimal number of stations in the arc length, multiplying by 100 gives total arc length.
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