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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 ===
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====
