Question
A circle $C_{1}$ of radius 5 has its center at the origin. Inside this circle there is a first-quadrant circle $C_{2}$ of radius 2 that is tangent to $C_{1}$. The $y$ -coordinate of the center of $C_{2}$ is 2. Find the $x$ -coordinate of the center of $C_{2}$
Step 1
The circle $C_{2}$ is inside $C_{1}$, has a radius of 2, and is tangent to $C_{1}$. The y-coordinate of the center of $C_{2}$ is 2. We are asked to find the x-coordinate of the center of $C_{2}$. Show more…
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A circle $C_{1}$ of radius 5 has its center at the origin. Inside this circle there is a first-quadrant circle $C_{2}$ of radius 2 that is tangent to $C_{1}$. The $y$ -coordinate of the center of $C_{2}$ is 2 . Find the $x$ -coordinate of the center of $C_{2}$.
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A circle $C_{1}$ of radius 5 has its center at the origin. Outside this circle is a first-quadrant circle $C_{2}$ of radius 2 that is tangent to $C_{1}$. The $y$ -coordinate of the center of $C_{2}$ is $3 .$ Find the $x$ -coordinate of the center of $C_{2}$
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