Determine the length of the diameter of a circle if each point on the circle is 7 units from the center which is at (4,6). What are the two end points of the diameter?

Question

This is for my geometry work and I need a step by step solution. Thanks

Answer 1

distance of 7 units from the center = radius = half the diameter, so the diameter =2(7)= 14 units

If you want the endpoints horizontally, add & subtract 7 from 4 to get (-3,6) and (11,6)

If you want a vertical diameter, add & subtract 7 from 6 to get (4,-1) and (4,13)

those 4 points are the top, bottom, right end and left end of the circle, the points where tangents to the circle have slopes that are zero or undetermined (infinite)