Question

Give the center, radius, and equation of the circle in the graph.

Answer 1

Answer:

$(x-2)^2+(y+3)^2=4$

Step-by-step explanation:

• A circle's equation consist on the following expression: $(x-a)^2+(y-b)^2=r^2$, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle.
• In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
• The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
• Finally, using the previous information to replace in the equation $(x-2)^2+(y+3)^2=4$, where the fact that r=2 and $2^2=4$ was used.