Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
- I have graphed the second equation above.
- Notice that the center is at (4,2) just as the question requested.
- A second point was put at (4,7). That was to show you that the radius is 5 units.
- You can calculate that it is 5 units by noticing that 7 - 2 = 5
- So the distance from the center to (4,7) is 5 units which is the amount of the radius.
- Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.
