Question

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

Answer 1

25π≈78.5 square units

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=√(a^2+b^2)`

`c=√(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`