Respuesta :
Answer:
157.1 square units
Step-by-step explanation:
A circle has a center at (8,2). The point (3,7) is on the circle.
To find area of a circle, we need to find the radius
find the distance between the center and the point to get the radius
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A circle has a center at (8,2). The point (3,7)
[tex]D=\sqrt{(3-8)^2+(7-2)^2}=\sqrt{50}[/tex]
So the radius = [tex]\sqrt{50}[/tex]
Area of the circle = [tex]\pi r^2[/tex]
where 'r' is the radius
Area of the circle = [tex]\pi (\sqrt{50})^2=157.1 square units[/tex]
