Difference between revisions of "Chord length and distance for centre of the circle"

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===Name of the activity===
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For a chord the distance from the center is the  perpendicular distance of the chord such that it passes through the center.
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Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 
  
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=== Objectives ===
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===Objectives===
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Content objectives  - what content areas
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Understand the relation between chord length and distance from the center
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Skill objectives - what specific skills
 
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Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
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All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 
  
 
===Estimated Time===
 
===Estimated Time===
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30 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior knowledge of point, lines, angles, polygons
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
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* Digital : Computer, geogebra application, projector.
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* Non digital : Worksheet and pencil, compass, strings
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* Geogebra files :  [https://ggbm.at/tbv5xzfg Chord length and perpendicular distance.ggb]
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{{Geogebra|tbv5xzfg}}
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===Process (How to do the activity)===
 
===Process (How to do the activity)===
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How to do the different steps of the activity?
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* For a chord in a circle construct a perpendicular through the center of the circle.
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* Move chord closer to center of the circle, note the perpendicular distance in the worksheet.
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* What can you notice between chord length and perpendicular distance? When is the perpendicular distance equal to zero?
  
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What kinds of questions you can ask for that activity
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{| class="wikitable"
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|Observation
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|Chord 1
  
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What are the student follow-up activities/ questions you can give?
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Length
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|Distance from centre
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|Chord 2
  
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Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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Length
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|Distance from centre
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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[[Category:Circles]]

Latest revision as of 10:43, 29 October 2019

For a chord the distance from the center is the perpendicular distance of the chord such that it passes through the center.

Objectives

Understand the relation between chord length and distance from the center

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, polygons

Materials/ Resources needed


Download this geogebra file from this link.


Process (How to do the activity)

  • For a chord in a circle construct a perpendicular through the center of the circle.
  • Move chord closer to center of the circle, note the perpendicular distance in the worksheet.
  • What can you notice between chord length and perpendicular distance? When is the perpendicular distance equal to zero?
Observation Chord 1

Length

Distance from centre Chord 2

Length

Distance from centre
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