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3 years ago

The endpoints of the diameter of a circle are (-7,3) and (5,1) . What is the center of the circle

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

Answer:

The center is the point $(-1,2)$

Step-by-step explanation:

we know that

The center of the circle is equal to the midpoint of the endpoints of the diameter

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M(\frac{-7+5}{2},\frac{3+1}{2})$

$M(\frac{-2}{2},\frac{4}{2})$

$M(-1,2)$

therefore

The center is the point $(-1,2)$

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Answer:

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