You measured the radius of a circle as 11cm.it is actually a radius of 10cm what is the percent error of the circumference of the circle

Question

hey how are you doing in the math industry

Answer 1

Hello, thank you for taking the time to post your question!

C = 2*pi*r

So at 11 cm you would get

C = 2pi*11 = 22pi

And at 10 cm it would actually be

C = 2pi*10 = 20pi

Meaning that the percent error is

(22pi – 20pi)/20pi x 100%

=1/10 x 100%

=10%

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

You measured the radius of a circle as 11cm.it is actually a radius of 10cm what is the percent error of the circumference of the circle

 

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Let R=10cm is the radius; L=2pi*R - circumference

 

Percent error of L is same as of that of radius:

 

D(L)/L=D(R)/R=1/10=10%