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Alina [70]
3 years ago
13

Write the standard form of the equation of the circle with the given characteristics.

Mathematics
1 answer:
kati45 [8]3 years ago
4 0
(x – h)^2 + (y – k)^2 = r^2
<span>Where,
(h, k) is the center and </span><span>"r" is the radius.
Substituting the given values:

(x-4)^2 + (y+4)^2 = r^2
</span>
Now using the distance formula. 

<span>r = [(x2-x1)^2 + (y2-y1)^2]^1/2 
</span>
r = [(1 - 4)^2 + (0 + 4)^2]^1/2  
r = [(9+16)]^1/2
r = 25^1/2
r = 5

Substituting the values of r and the center into the main equation:

<span>(x-4)^2 + (y+4)^2 = 25</span>
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\boxed {\boxed {\sf (1.5 , 2.5)}}

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(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})

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