there are 2,100 bacteria in a circular petri dish. the dish has a radius of 40 millimeters. what is the…

there are 2,100 bacteria in a circular petri dish. the dish has a radius of 40 millimeters. what is the approximate population density? (use 3.14 for $pi$)\narea of a circle = $pi r^{2}$\n0.02 bacteria per square millimeter\n0.42 bacteria per square millimeter\n2.39 bacteria per square millimeter\n52.5 bacteria per square millimeter

there are 2,100 bacteria in a circular petri dish. the dish has a radius of 40 millimeters. what is the approximate population density? (use 3.14 for $pi$)\narea of a circle = $pi r^{2}$\n0.02 bacteria per square millimeter\n0.42 bacteria per square millimeter\n2.39 bacteria per square millimeter\n52.5 bacteria per square millimeter

Answer

Explanation:

Step1: Calcular el área del plato de Petri

Utilizamos la fórmula $A = \pi r^{2}$, donde $r = 40$ mm y $\pi=3.14$. Entonces $A = 3.14\times40^{2}=3.14\times1600 = 5024$ $mm^{2}$.

Step2: Calcular la densidad de población

La densidad de población $d$ se calcula como $d=\frac{N}{A}$, donde $N = 2100$ bacterias y $A = 5024$ $mm^{2}$. Entonces $d=\frac{2100}{5024}\approx0.42$ bacterias por $mm^{2}$.

Answer:

0.42 bacterias por milímetro cuadrado