Metal washers

Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet.

Correct answer:

p =  35.1075 %
p2 =  49.7345 %

Step-by-step explanation:

a=10 cm D=80 mm cm=80:10  cm=8 cm  r=D/2=8/2=4 cm  S1=π r2=3.1416 4250.2655 cm2  (2r)2=b2+(a2 r)2  b=(2r)2(a2 r)2=(2 4)2(102 4)2=2 15 cm7.746 cm  S2=a b=10 7.746=20 15 cm277.4597 cm2  p=S2S2S1 100=77.459777.459750.2655 100=35.1075%
S3=a2=102=100 cm2  p2=100 S3S3S1=100 10010050.2655=49.7345%

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
The Pythagorean theorem is the base for the right triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: