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
