Answer:
• (a) (x-4)²+(y-2)²=4
,
• (b) x²+y²-8x-4y+16=0
Step-by-step explanation:
The given circle has the endpoints of one diameter as (2,2) and (6,2).

The centre of the circle is the midpoint of the diameter.

Part A
The center-radius form of the equation of a circle is given as:

Substitute the center, (a,b)=(4,2) and r=2:

Part B
The general form of a circle is given as:

In this case, we obtain the equation by expanding our results from part (a).

The general form of the circle is given as:
