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<quiz>
  <question type="stack">
    <name>
      <text>6.0.9 (Find equation of circle diameter rational)</text>
    </name>
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      <text><![CDATA[<p>Find the equation of the circle with centre \(({@xx@}, {@yy@})\) and diameter {@dd@}. Give your answer in centre-radius form.</p>

<p>[[input:ans1]] [[validation:ans1]]</p>]]></text>
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    <generalfeedback format="moodle_auto_format">
      <text><![CDATA[<p>Recall that for a circle with centre \((a,b)\) and radius \(r\) the equation of the circle is given by 
\[
(x -a)^2 + (y-b)^2 = r^2.
\]
Therefore in this case the radius is \({@dd@}/2 = {@rr@}\) and thus we have {@ta1@}</p>]]></text>
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    <stackversion>
      <text>2020081700</text>
    </stackversion>
    <questionvariables>
      <text>xx: (1+rand(10))/(1+rand(10));
yy: (1+ rand(10))/(1+rand(10));
rr: 1+rand(5);
dd: 2*rr

ta1: (x - xx)^2 + (y - yy)^2 = rr^2</text>
    </questionvariables>
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      <text>[[feedback:prt1]]</text>
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      <text>{@ta1@}</text>
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      <text/>
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      <text><![CDATA[<span style="font-size: 1.5em; color:orange;"><i class="fa fa-adjust"></i></span> Your answer is partially correct.]]></text>
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      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
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    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
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  </question>
</quiz>
