Revision as of 23:06, 2 November 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow}...")
BBy Bot
Nov 03'24
Exercise
[math]
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[/math]
Write an equation for each of the following.
- A circle with center at the origin and radius [math]3[/math].
- A circle with center at the origin and radius [math]\frac{10}3[/math].
- A circle with center at [math](-2, 2)[/math] and radius [math]5[/math].
- A circle with center at [math](3, 0)[/math] and radius [math]3[/math].
- A circle with center at [math](0, -7)[/math] and radius [math]7[/math].
- A circle with center at [math](-3, -3)[/math] and radius [math]3\sqrt2[/math].
- A circle with center in the first quadrant, radius [math]4[/math], and tangent to both axes.
- A circle with center on the [math]y[/math]-axis, radius [math]\frac52[/math], and tangent to the [math]x[/math]-axis (there are two such circles).
- A circle with radius [math]2[/math] and tangent to the [math]x[/math]-axis and to the line defined by the equation [math]x=5[/math] (there are four such circles).