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Helga [31]
3 years ago
14

What is the equation of this circle in standard form M(2,4) N(9,4) these are coordinates across the diameter of the circle?

Mathematics
1 answer:
igomit [66]3 years ago
3 0
The standard form is

(x-xo)² + (y-yo)² = r²

Where xo,yo is the center of the circumference
and r is the radius.

We find the distance between the points to determine the <span>diameter

d=sqrt ((9-2)</span>² + (4-4)²<span>) = sqrt (49) = 7

The radius of the circumference is d/2 = 7/2 = 3.5

And we can see that those points are at the same coordinate y = 4 

The center is given then by , x = (9+2)/2 = 5.5
                                              y = (4+4)/2 = 4

The equation results

(x-5.5)</span>² + (y-4)² = (3.5)²<span>

</span>
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