Answer:
Yes, the center of a circle is always and always equidistant from all the points on circumference because that is because what a circle is called. The distance from the center of the circle to the circumference is called the radius and it is constant for any particular circle.
As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals). Hence, quadrilateral is a rectangle.
You know this is just a formula, right?