Difference between revisions of "The longest chord passes through the centre of the circle"

Latest revision as of 16:17, 4 November 2019

Investigating the diameter is the longest chord of a circle.

Objectives

To understand longest chord passes through the centre and it is the diameter

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 : Diameter is longest chord.ggb

Download this geogebra file from this link.

Process (How to do the activity)

Use the geogebra file to show how diameter is the longest chord.

Move the points on the circle to show the changes in the triangle.

What is the condition with respect to sides for formation of a triangle. Sum of two sides is larger than the third side.

Compare the chord length with sum of two radii. When is the triangle reduced to a line segment.

What can you conclude about the chord? When is it the largest?

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+Investigating the diameter is the longest chord of a circle.
-''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ವೃತ್ತ_-_ಸ್ಪರ್ಶಕದ_ಗುಣಲಕ್ಷಣಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
+===Objectives===
+To understand longest chord passes through the centre and it is the diameter
+===Estimated Time===
+minutes
-<!-- This portal was created using subst:box portal skeleton  -->
+===Prerequisites/Instructions, prior preparations, if any===
-<!--        BANNER ACROSS TOP OF PAGE        -->
+Prior knowledge of point, lines, angles, polygons
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-[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
-[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
-[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
-[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
-[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
-| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
-[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
-|}
-__FORCETOC__
+===Materials/ Resources needed===
-#
+* Digital : Computer, geogebra application, projector.
+* Non digital : Worksheet and pencil, compass, strings
+* Geogebra files :  [https://ggbm.at/c4eg7q2u Diameter is longest chord.ggb]
+{{Geogebra|c4eg7q2u}}
+===Process (How to do the activity)===
+Use the geogebra file to show how diameter is the longest chord.
+Move the points on the circle to show the changes in the triangle.
+What is the condition with respect to sides for formation of a triangle. Sum of two sides is larger than the third side.
+Compare the chord length with sum of two radii. When is the triangle reduced to a line segment.
+What can you conclude about the chord? When is it the largest?
+[[Category:Circles]]