<snapdata remixID="12703203"><project name="circlePi5" app="Snap! 10, https://snap.berkeley.edu" version="2"><notes>This project shows a fun way to calculate PI. A polygon is drawn to approximate a circle. Then PI is calculated by dividing the perimeter of the polygon and the diameter. </notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="circlePi5"><notes>This project shows a fun way to calculate PI. A polygon is drawn to approximate a circle. Then PI is calculated by dividing the perimeter of the polygon and the diameter. </notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="draw polygon sides %&apos;side&apos; length %&apos;length&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doFor"><l>i</l><l>1</l><block var="side"/><script><block s="forward"><block var="length"/></block><block s="turn"><block s="reportDifference"><l>180</l><block s="reportQuotient"><block s="reportVariadicProduct"><list><l>180</l><block s="reportDifference"><block var="side"/><l>2</l></block></list></block><block var="side"/></block></block></block></script></block></script></block-definition><block-definition s="PI Fast LoopTime %&apos;time&apos;" type="reporter" category="variables"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs></block-definition></blocks><primitives></primitives><stage name="Stage" width="480" height="480" costume="1" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" 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" 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