Question

A circle is centered at the orgin and contains thr point (-4,-3) . What is the are of this circle?

Answer 1

Answer:

25π≈78.5 square units

Step-by-step explanation:

The equation for the area of a circle is

$A=\pi r^2$

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 ($a^2+b^2=c^2$) to calculate the radius of the circle.

$a^2+b^2=c^2$

$c=\sqrt{a^2+b^2}$

$c=\sqrt{4^2+3^2}=5$

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.

$A=\pi r^2=\pi (5)^2=25\pi$