Difference between revisions of "Chord length and distance for centre of the circle"
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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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− | === Objectives === | + | ===Objectives=== |
− | + | Understand the relation between chord length and distance from the center | |
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===Estimated Time=== | ===Estimated Time=== | ||
+ | 30 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Prior knowledge of point, lines, angles, polygons | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
+ | * Digital : Computer, geogebra application, projector. | ||
+ | * Non digital : Worksheet and pencil, compass, strings | ||
+ | * Geogebra files : [https://ggbm.at/tbv5xzfg Chord length and perpendicular distance.ggb] | ||
+ | {{Geogebra|tbv5xzfg}} | ||
+ | |||
===Process (How to do the activity)=== | ===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? | ||
− | + | {| class="wikitable" | |
+ | |Observation | ||
+ | |Chord 1 | ||
− | + | Length | |
+ | |Distance from centre | ||
+ | |Chord 2 | ||
− | + | Length | |
+ | |Distance from centre | ||
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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
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil, compass, strings
- Geogebra files : Chord length and perpendicular distance.ggb
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 |