The circumference of a frying pan is 78.5 centimeters and the circumference of a plate is 47.1 centimeters. the diameter of the frying pan is 25 centimeters. what is the diameter of the plate? determine the ratio of the circumference to the diameter for the frying pan and for the plate. (i need i don't get it.)

The diameter of the plate is 15 centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- All circles are similar

- In the similar circles the ratio between their circumferences is equal

 to the ratio between their diameters

* Lets solve the problem

∵ The circumference of a frying pan is 78.5 centimeters

∵ The circumference of a plate is 47.1 centimeters

∵ The frying pan and the plate are shaped circles

∴ The frying pan and the plate are similar

∴ C 1/C 2 = d 1/d 2 , where C 1 is the circumference of the frying pan ,

   C 2 is the circumference of the plate , d 1 is the diameter of the

   frying pan and d 2 is the diameter of the plate

∵ The diameter of the frying pan is 25 centimeters

∴ d 1 = 25

∵ C 1 = 78.5

∵ C 2 = 47.1

∵ C 1/C 2 = d 1/d 2

∴ 78.5/47.1 = 25/d 2

- By using cross multiplication

∴ 78.5(d 2) = (47.1)(25)

∴ 78.5(d 2) = 1177.5

- Divide both sides by 78.5

∴ d 2 = 15

∵ d 2 is the diameter of the plate

∴ The diameter of the plate is 15 centimeters

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: