Answer:
25π≈78.5 square units
Step-by-step explanation:
The equation for the area of a circle is
[tex]A=\pi r^2[/tex]
We need to determine the radius of the circle. Since the circle is centered at the origin, and the point (-4,-3) is on the circle, we can use the Pythagorean theorem ([tex]a^2+b^2=c^2[/tex]) to calculate the radius of the circle.
[tex]a^2+b^2=c^2[/tex]
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]c=\sqrt{4^2+3^2}=5[/tex]
Therefore, the radius of the circle is 5. Now we go back and plug it into the equation to find the area of the circle.
[tex]A=\pi r^2=\pi (5)^2=25\pi[/tex]
