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I have a couple of polar area problems. Here's one:</div>
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<span><problem><br>
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<div> <script type="loncapa/perl"><br>
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<div>$a=&random(5,10,1); $a1=&random(1,3,1); $b=$a-1; <br>
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<div>for ($x = 0; $x<=2*3.141592654; $x+= 0.01) {<br>
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<div> push @X1, ($a+$b*sin($x))*cos($x);<br>
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<div> push @Y1, ($a+$b*sin($x))*sin($x);<br>
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<div> push @X2, ($a+$b*sin($x))*cos($x); push @Y2, 0; <br>
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<div> push @X3, 0; push @Y3, ($a+$b*sin($x))*sin($x); }<br>
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<div>$area=$a**2/2+$b**2/4;<br>
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<div>$area1="$area*$pi";<br>
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<div> </script><br>
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<div> <startouttext /> <br>
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<div>Determine the area of the right half of the cardioid formed by <m eval="on">\[ r = $a + $b \sin{\theta} \, \] </m> <p /><br>
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<div> <br>
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<div><endouttext /><br>
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<div><gnuplot width="400" grid="off" align="center" font="medium" height="300" border="on" alttag="dynamically generated plot" bgcolor="xffffff" fgcolor="x000000" transparent="off"><br>
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<div> <curve linestyle="lines" name="" color="x8B0000" pointtype="1" pointsize="1"><br>
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<div> <data>@X1</data><br>
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<div> <data>@Y1</data><br>
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<div> </curve><br>
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<div> <curve linestyle="lines" name="" color="x000000" pointtype="1" pointsize="2"><br>
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<div> <data>@X2</data><br>
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<div> <data>@Y2</data><br>
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<div> </curve><br>
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<div> <curve linestyle="lines" name="" color="x000000" pointtype="1" pointsize="2"><br>
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<div> <data>@X3</data><br>
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<div> <data>@Y3</data><br>
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<div> </curve><br>
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<div> </gnuplot> <br>
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<div><p /><br>
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<div><startouttext />Area of cardioid right half is <endouttext /><br>
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<div><formularesponse answer="$area1" samples="x,pi@3,$pi:9,$pi#4" id="11"><br>
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<div><responseparam name="tol" default="0.001" description="Numerical Tolerance" type="tolerance" /><br>
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<div> <textline size="35" readonly="no" /> <br>
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<div> </formularesponse><br>
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<div></problem><br>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> LON-CAPA-users <lon-capa-users-bounces@mail.lon-capa.org> on behalf of Harding, Gene L <glhardin@purdue.edu><br>
<b>Sent:</b> Friday, May 1, 2020 6:03 PM<br>
<b>To:</b> Discussion list for LON-CAPA users <lon-capa-users@mail.lon-capa.org><br>
<b>Subject:</b> [LON-CAPA-users] Polar Format gnuplots</font>
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<p class="x_MsoNormal">Hi,</p>
<p class="x_MsoNormal"> </p>
<p class="x_MsoNormal">Has anyone done polar-format gnuplots in LON-CAPA? Would you be willing to share an example? This is my first foray into polar gnuplots. I am having trouble getting the angle to display around the perimeter. It’s rendering x- and y-axis
values instead of angle and radius values.</p>
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<p class="x_MsoNormal">Best regards,</p>
<p class="x_MsoNormal"> </p>
<p class="x_MsoNormal">Gene L. Harding, PE</p>
<p class="x_MsoNormal">Associate Professor of ECET</p>
<p class="x_MsoNormal">Purdue University</p>
<p class="x_MsoNormal">574-520-4190</p>
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