Respuesta :
Convert first the given diameter from nanometers to meter.
[tex]8.8\text{ nm}\rightarrow8.8\times10^{-9}\text{ m}[/tex]Now that we have the diameter. Find the radius to be able to solve for its circumference and area.
[tex]\begin{gathered} r=\frac{8.8\times10^{-9}\text{ m}}{2} \\ r=4.4\times10^{-9}\text{ m} \end{gathered}[/tex]Part I: Finding the circumference.
[tex]\begin{gathered} C=2\pi r \\ C=2(3.142)(4.4\times10^{-9}\text{ m}) \\ C=2.76496\times10^{-8}\text{ m} \end{gathered}[/tex]In standard form, the circumference of the microoraganism is 2.76496 × 10⁻⁸ m.
Part II: Finding the area
[tex]\begin{gathered} A=\pi r^2 \\ A=(3.142)(4.4\times10^{-9}\text{ m})^2 \\ A=6.082912\times10^{-17}\text{ m}^2 \end{gathered}[/tex]In standard form, the area of the microorganism is 6.082912 × 10⁻¹⁷ m²
