What is the approximate uncertainty in the area of a circle of radius 4.5×10^4 cm? Express your answer using one significant figure.

Respuesta :

Answer:

[tex]A=6.36\times 10^5\ m^2[/tex]

Explanation:

It is given that,

Radius of the circle, [tex]r=4.5\times 10^4\ cm=4.5\times 10^2\ m[/tex]

The area of the circle is given by :

[tex]A=\pi r^2[/tex]

[tex]A=\pi (4.5\times 10^2\ m)^2[/tex]

[tex]A=636172.51\ m^2[/tex]

or

[tex]A=6.36\times 10^5\ m^2[/tex]

As there is no uncertainty given in the radius of the circle. So, the area of the circle is [tex]6.36\times 10^5\ m^2[/tex]. Hence, this is the required solution.