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The equation of the given circle with points  P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr²  and the perimeter of circle = 2πr where r is the radius of the circle.

Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).

Centre coordinate = midpoint of P(-10,10) and Q(6,-2).

Midpoint of P(-10,10) and Q(6,-2)  

[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )

Diameter of circle = length between P(-10,10) and Q(6,-2).

lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.

The equation of a circle with a center (-2,4 ) and diameter of 10 is given by

(x-2)² +(y-4)² = 10² hence it will be correct.

To learn more about the circle,

https://brainly.com/question/266951

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