Question

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.

Answer 1

`A=6.36* 10^5\ m^2`

Step-by-step explanation:

It is given that,

Radius of the circle,
`r=4.5* 10^4\ cm=4.5* 10^2\ m`

The area of the circle is given by :

`A=\pi r^2`

`A=\pi (4.5* 10^2\ m)^2`

`A=636172.51\ m^2`

or

`A=6.36* 10^5\ m^2`

As there is no uncertainty given in the radius of the circle. So, the area of the circle is
`6.36* 10^5\ m^2`. Hence, this is the required solution.