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From Karnataka Open Educational Resources
→Activities
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====== [[Pi the mathematical constant|Pi the mathematical constant]] ======
====== [[Pi the mathematical constant|Pi the mathematical constant]] ======
+==== '''Learning Objective''' ====
+Show that the ratio of the circumference of a circle to its diameter is a constant value – Pi
+====Material and Resources Required====
+Projector, Pencil, Paper
+====Pre-requisites/Instructions====
+First for a circle of diameter 1 unit show the Geogebra file
+
+[[http://rmsa.karnatakaeducation.org.in/sites/rmsa.karnatakaeducation.org.in/files/documents/pi_1.html]]
+
+To demonstrate the value of Pi move the slider named a from minimum to maxiumum value and observe the circumference
+====Evaluation====
+Use the GeoGebra file [[http://rmsa.karnatakaeducation.org.in/sites/rmsa.karnatakaeducation.org.in/files/documents/Constant_Pi.html]] and illustrate and verify that the ratio is true for different radius by moving the radius slider and using the table below to compute the values.
+
+[[Image:KOER%20Circles_html_14d27306.png|650px|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:KOER_Circles_html_14d27306.png]]
+
+[[Image:KOER%20Circles_html_7b6eda1c.png|650px|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:KOER_Circles_html_7b6eda1c.png]]
+{| border="1"
+|-
+|Radius of circle r
+|Circumference of Circle C
+|C/2r
+|-
+|6
+|18.85
+|<nowiki>-</nowiki>
+|-
+|2.5
+|15.71
+|<nowiki>-</nowiki>
+|-
+|.........
+|<nowiki>-</nowiki>
+|<nowiki>-</nowiki>
+|}
=== Concept #2 Terms associated with circles ===
=== Concept #2 Terms associated with circles ===
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To construct Transverse common tangents to two circles.
To construct Transverse common tangents to two circles.
−[[Image:KOER%20Circles_html_m38f1dae5.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:KOER_Circles_html_m38f1dae5.png]]
+[[Image:KOER%20Circles_html_m38f1dae5.png|link=]]
====Activity 1 Tangents====
====Activity 1 Tangents====
====Learning Objectives====
====Learning Objectives====
