The diameter of a circle has endpoints whose coordinates are r(-2, 2) and s(4, 2). find the center of the circle.

 The required center of the circle is (1, 2).

Step-by-step explanation:  Given that the diameter of a circle has endpoints whose coordinates are r(-2, 2) and s(4, 2).

We are to find the center of the circle.

We know that

the center of a circle always lies in the middle of every diameter of the circle.

So, the co-ordinates of the midpoint of the diameter will be the center of the circle.

Now, the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

Therefore, the co-ordinates of the midpoint of the diameter will be

Thus, the required center of the circle is (1, 2).

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.