Rewrite 23/25 and 9/10 so they have a common denominator
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We need to find the center and the radius of
The general circle equation is the following
where
(h,k) is the center and
r is the radius
1. rearrange the equation
2. Add 25 on both sides
3. Factor
Now we have an equation that is very similar to the circle equation, so let's compare them
Center -> (h,k) = (5,-11)
radius -> r = 5