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Sagot :
The equation in standard form for the circle will be;
⇒ (x + 2)² + (y - 9)² = 1
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle that has a diameter with endpoints (-2,10) and (-2,8).
Now,
Since, The circle that has a diameter with endpoints (-2,10) and (-2,8).
Hence, The radius of circle is the half of the distance between two points of the diameter.
So, Radius = 1/2 (√ (8 - 10)² + (- 2 - (-2))²
= 1/2 √4
= 1/2 × 2
= 1
Thus, Radius (r) of circle = 1
And, The center of circle is midpoint of the endpoints of the diameter.
Hence, Centre = (- 2 + (-2))/2, (10 + 8)/2
= - 4/2 , 18/2
= (- 2, 9)
Hence, The equation of circle with center (-2, 9) and radius 1 is;
⇒ (x - (-2))² + (y - 9) = 1²
⇒ (x + 2)² + (y - 9)² = 1
Thus, The equation in standard form for the circle will be;
⇒ (x + 2)² + (y - 9)² = 1
Learn more about the circle visit:
https://brainly.com/question/1294687
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