Question

What is the length of the radius of a circle with a center at (2, 3) and passing through (0,4)?а75b/13C✓17d41

Answer 1

A) √5

1) Gathering the data

C(2,3) and point (0,4)

2) Let's write out the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

Now, let's plug into that the Center, and the point (0,4) so that we can find out the radius:

$\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ (0-2))^2+(4-3))^2=r^2 \\ (0-2)^2+(4-3)^2=r^2 \\ r^2=5 \\ r=\sqrt[]{5} \end{gathered}$

3) Hence, the radius is √5

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