Question

The endpoints of the diameter of a circle have coordinates O(-11, 5) and (3, 5). Where is the center of the circle located?

Answer 1

The center of the circle with endpoints O(-11, 5) and (3, 5) is found by calculating the midpoint, resulting in coordinates (-4, 5).

Step-by-step explanation:

The center of a circle is always the midpoint of its diameter. To find the coordinates of the center of the circle, we can calculate the midpoint between the two endpoints O(-11, 5) and (3, 5). The formula for the midpoint (M) is M = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Applying this formula, we get M = ((-11+3)/2, (5+5)/2) which simplifies to M = (-4, 5). So, the center of the circle is at the coordinates (-4, 5).