exercises/equation_of_a_circle_1.html

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	<title>Equation of a circle 1</title>
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	<div class="exercise">
	<div class="vars">
		<var id="H">randRange(-9, 9)</var>
		<var id="K">randRange(-9, 9)</var>
		<var id="R">randRange(1, 7)</var>

		<var id="X2T">H === 0 ? "x^2" : expr(["^", ["+", "x", -H], 2])</var>
		<var id="Y2T">K === 0 ? "y^2" : expr(["^", ["+", "y", -K], 2])</var>
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				<p>The equation of a circle <code>C</code> is <code><var>expr(["+", X2T, Y2T])</var> = <var>R * R</var></code>.</p>

				<p>What are its center <code>(h, k)</code> and its radius <code>r</code>?</p>

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			<div class="solution" data-type="multiple">
				<p class="short"><code>(h, k) = (</code><span class="sol"><var>H</var></span><code>,</code> <span class="sol"><var>K</var></span><code>)</code></p>
				<p><code>r</code> = <span class="sol"><var>R</var></span></p>
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	<div class="hints">
		<p>The equation of a circle with center <code>(h, k)</code> and radius <code>r</code> is <code>(x - h)^2 + (y - k)^2 = r^2</code>.</p>
		<p>We can rewrite the given equation as <code>(x - <var>negParens(H)</var>)^2 + (y - <var>negParens(K)</var>)^2 = <var>R</var>^2</code>.</p>
		<p>Thus, <code>(h, k) = (<var>H</var>, <var>K</var>)</code> and <code>r = <var>R</var></code>.</p>
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