41. The vertices of △AOB are A(0, 6), O(0, 0), and B(8, 0), as shown in the standard (x, y) coordinate plane below. What are the coordinates of the center of the circle that circumscribes △AOB ?

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

Find the center of the circumscribed circle of the triangle, that is, the circumcenter of the triangle, that is, the intersection point of the perpendiculars of the three sides. The abscissa of all points on the vertical line of OB is 4, so the ABE option is excluded. Observation shows that the ordinate of the outer center cannot be 0, so choose D.