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<!DOCTYPE html>
<html data-require="math angles">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Degrees to radians</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="ANGLE">randFromArray(commonAngles)</var>
</div>
<div class="problems">
<div id="degrees-to-radians">
<p class="question">
Convert the angle <var>ANGLE.deg</var>° to radians.
</p>
<div class="solution" data-type="multiple">
<span class="sol" data-forms="pi">
<var>ANGLE.deg / 180 * PI</var>
</span> radians
</div>
<div class="hints">
<p>
There are <code>360</code> degrees in a circle. There
are also <code>2\pi</code> radians in a circle.
</p>
<p>
In other words, there are <code>\pi</code> radians per
<code>180</code> degrees. So we can convert from
degrees to radians by multiplying by <code>\pi</code>,
and dividing by <code>180^\circ</code>.
</p>
<p><code>
<var>ANGLE.deg</var>^\circ
\times \dfrac{\pi}{180^\circ}
</code></p>
<p>
<code>\displaystyle = <var>ANGLE.rad</var></code>
radians
</p>
</div>
</div>
</div>
</div>
</body>
</html>