The area of the circle is 78.5 unit square.
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
The formula for area of circle is;
Area = [tex]\pi[/tex](radius)²
The distance between the two points are calculated by distance formula.
[tex]\begin{aligned}&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\text { distance } \\&\left(x_{1}, y_{1}\right)=\text { coordinates of the first point } \\&\left(x_{2}, y_{2}\right)=\text { coordinates of the second point }\end{aligned}[/tex]
Calculation for the area of the circle;
As, the radius of the circle is xy.
The distance between x and y points will be calculated by the distance formula.
x=(0,3) y=(-3,-1)
[tex]\begin{aligned}&d=\sqrt{\left(-3-0\right)^{2}+\left(-1-3\right)^{2}} \\\end{aligned}[/tex]
[tex]\begin{aligned}&d=\sqrt{\left(-3\right)^{2}+\left(-4\right)^{2}} \\\end{aligned}[/tex]
[tex]\begin{aligned}&d=\sqrt{25} \\\end{aligned}[/tex]
[tex]d=5[/tex]
As, distance between x and y point is 5 units which is the radius of the circle.
Area of circle = [tex]\pi[/tex](radius)²
= 3.14×(5)²
= 78.5
Therefore, the area of the circle is 78.5 unit square.
To know about the properties of circle, here
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