Given:
The radius of the circle X is XY.
Coordinates of X are (0,3) and coordinates of Y are (-3,-1).
To find:
The area of the circle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).
[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]
[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]XY=\sqrt{9+16}[/tex]
[tex]XY=\sqrt{25}[/tex]
[tex]XY=5[/tex]
The radius of the circle is 5 units.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Therefore, the area of the circle is 78.5 square units.
