Question

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 help please I don't get it.)

Answer 1

Answer:

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