Part A What is the area of a circle of radius 6.1×10^4cm?
Express your answer using two significant figures.
Part B
What is the approximate uncertainty in the area of a circle of radius 6.1×10^4cm?
Express your answer using one significant figure.
This is all the information given.

Respuesta :

Explanation:

It is given that,

Part A :

Radius of the circle, [tex]r=6.1\times 10^4\ cm=6.1\times 10^6\ m[/tex]

The radius of the circle is given by :

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

Putting the value of r in above formula as :

[tex]A=\pi (6.1\times 10^6)^2[/tex]

[tex]A=1.16\times 10^{14}\ m^2[/tex]

or [tex]A=1.1\times 10^{14}\ m^2[/tex]

Part B :            

Radius of the circle, [tex]r=6.1\times 10^4\ cm=6.1\times 10^6\ m[/tex]

As there is no uncertainty in the radius of the circle, so the calculation is as same as in part A.

The radius of the circle is given by :

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

Putting the value of r in above formula as :

[tex]A=\pi (6.1\times 10^6)^2[/tex]

[tex]A=1.16\times 10^{14}\ m^2[/tex]

or [tex]A=1\times 10^{14}\ m^2[/tex]                    

Hence, this is the required solution.