<map version="freeplane 1.3.0">
<!--To view this file, download free mind mapping software Freeplane from http://freeplane.sourceforge.net -->
<node TEXT="Circle and areas" ID="ID_1723255651" CREATED="1283093380553" MODIFIED="1533115357426"><hook NAME="MapStyle">

<map_styles>
<stylenode LOCALIZED_TEXT="styles.root_node">
<stylenode LOCALIZED_TEXT="styles.predefined" POSITION="right">
<stylenode LOCALIZED_TEXT="default" MAX_WIDTH="600" COLOR="#000000" STYLE="as_parent">
<font NAME="SansSerif" SIZE="10" BOLD="false" ITALIC="false"/>
</stylenode>
<stylenode LOCALIZED_TEXT="defaultstyle.details"/>
<stylenode LOCALIZED_TEXT="defaultstyle.note"/>
<stylenode LOCALIZED_TEXT="defaultstyle.floating">
<edge STYLE="hide_edge"/>
<cloud COLOR="#f0f0f0" SHAPE="ROUND_RECT"/>
</stylenode>
</stylenode>
<stylenode LOCALIZED_TEXT="styles.user-defined" POSITION="right">
<stylenode LOCALIZED_TEXT="styles.topic" COLOR="#18898b" STYLE="fork">
<font NAME="Liberation Sans" SIZE="10" BOLD="true"/>
</stylenode>
<stylenode LOCALIZED_TEXT="styles.subtopic" COLOR="#cc3300" STYLE="fork">
<font NAME="Liberation Sans" SIZE="10" BOLD="true"/>
</stylenode>
<stylenode LOCALIZED_TEXT="styles.subsubtopic" COLOR="#669900">
<font NAME="Liberation Sans" SIZE="10" BOLD="true"/>
</stylenode>
<stylenode LOCALIZED_TEXT="styles.important">
<icon BUILTIN="yes"/>
</stylenode>
</stylenode>
<stylenode LOCALIZED_TEXT="styles.AutomaticLayout" POSITION="right">
<stylenode LOCALIZED_TEXT="AutomaticLayout.level.root" COLOR="#000000">
<font SIZE="18"/>
</stylenode>
<stylenode LOCALIZED_TEXT="AutomaticLayout.level,1" COLOR="#0033ff">
<font SIZE="16"/>
</stylenode>
<stylenode LOCALIZED_TEXT="AutomaticLayout.level,2" COLOR="#00b439">
<font SIZE="14"/>
</stylenode>
<stylenode LOCALIZED_TEXT="AutomaticLayout.level,3" COLOR="#990000">
<font SIZE="12"/>
</stylenode>
<stylenode LOCALIZED_TEXT="AutomaticLayout.level,4" COLOR="#111111">
<font SIZE="10"/>
</stylenode>
</stylenode>
</stylenode>
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</hook>
<hook NAME="AutomaticEdgeColor" COUNTER="3"/>
<hook NAME="accessories/plugins/AutomaticLayout.properties" VALUE="ALL"/>
<node TEXT="Sector" POSITION="right" ID="ID_1828922634" CREATED="1533114548210" MODIFIED="1533115277118" HGAP="-66" VSHIFT="-56">
<edge COLOR="#ff0000"/>
<node TEXT="Pizza,cake cutting" ID="ID_966608090" CREATED="1533114600421" MODIFIED="1533114613505"/>
<node TEXT="Pie chart" ID="ID_1288248656" CREATED="1533114632019" MODIFIED="1533114634556"/>
<node TEXT="method to explain" ID="ID_61118974" CREATED="1533114881807" MODIFIED="1533114885153">
<node TEXT="draw the circle" ID="ID_1414564621" CREATED="1533114662738" MODIFIED="1533114665969"/>
<node TEXT="from centre, draw a radius" ID="ID_156127154" CREATED="1533114667211" MODIFIED="1533114672436"/>
<node TEXT="take one more radius, with suitable angle" ID="ID_633363018" CREATED="1533114673131" MODIFIED="1533114695208"/>
<node TEXT="between the two radii, there is one arc" ID="ID_764398427" CREATED="1533114695650" MODIFIED="1533114703598"/>
<node TEXT="region bounded between the radii is a sector" ID="ID_1683173954" CREATED="1533114704045" MODIFIED="1533114711765"/>
<node TEXT="major and minor sectors" ID="ID_1766199028" CREATED="1533114712154" MODIFIED="1533114716834"/>
</node>
<node TEXT="issues" ID="ID_1639644111" CREATED="1533114760860" MODIFIED="1533114762160">
<node TEXT="difference between radius and segment" ID="ID_1969558565" CREATED="1533114763607" MODIFIED="1533114781199"/>
<node TEXT="cant recognize the arc, that arc is part of circle" ID="ID_1044175001" CREATED="1533114771765" MODIFIED="1533114786784"/>
<node TEXT="circumference vs circle" ID="ID_718403280" CREATED="1533114866285" MODIFIED="1533114871786"/>
<node TEXT="arc vs sector" ID="ID_1366864364" CREATED="1533114920447" MODIFIED="1533114923714"/>
<node TEXT="area vs perimeter" ID="ID_1289340709" CREATED="1533114912654" MODIFIED="1533114917988"/>
<node TEXT="major vs minor sectors" ID="ID_204719552" CREATED="1533114712154" MODIFIED="1533115009653"/>
</node>
</node>
<node TEXT="diameter" POSITION="left" ID="ID_587366038" CREATED="1533115046630" MODIFIED="1533115357425" HGAP="-10" VSHIFT="-80">
<edge COLOR="#0000ff"/>
<node TEXT="longest chord" ID="ID_236946647" CREATED="1533115082908" MODIFIED="1533115112950">
<cloud COLOR="#f0f0f0" SHAPE="ARC"/>
</node>
<node TEXT="draw many chords and measure" ID="ID_1058653738" CREATED="1533115089691" MODIFIED="1533115101040">
<node TEXT="the longest is the one passing through the centre" ID="ID_707072705" CREATED="1533115148349" MODIFIED="1533115157865"/>
<node TEXT="when two arcs are equal, that is the diameter" ID="ID_1260482897" CREATED="1533115224261" MODIFIED="1533115236116"/>
<node TEXT="segment passing through the centre of the circle" ID="ID_81039261" CREATED="1533115255781" MODIFIED="1533115264397"/>
<node TEXT="diameter is twice the radius, hence all other chords will be less than twice the radius" ID="ID_329683282" CREATED="1533115291668" MODIFIED="1533115314134"/>
</node>
</node>
<node TEXT="measure of angles of a triangle=180" POSITION="left" ID="ID_132032467" CREATED="1533115360065" MODIFIED="1533115371685">
<edge COLOR="#00ff00"/>
</node>
</node>
</map>
