The radius of a disk is 24 centimeters. If the radius has a maximum error of 0.2 centimeters, estimate the relative percentage error in the calculated area. The area of a circle = pi r^2

Question

chiunlee12 · Answer

Okay, so you will have to calculate the area of two circles:
One with the radius of 24cm
And the other with the radius of 24+0.2 [or 24-0.2, doesn't really matter.

love_to_love_you · Answer

1,809 and 1,839?

love_to_love_you · Answer

@chiunlee12

chiunlee12 · Answer

Yeah I guess

chiunlee12 · Answer

To be precise, 1809.56 and 1839.42

love_to_love_you · Answer

Okay, what do I do now?

chiunlee12 · Answer

The formula of finding the percent error is:
(Theoretical - experimental)/theoretical
In this case, the 24.2 is the theoretical value
And 24 is the experimental value

chiunlee12 · Answer

So you plug in the areas: 1839.84 for theoretical and 1809.56 fpr experimental

chiunlee12 · Answer

So when you plug them in it becomes:
(1839.84-1809.56)/1839.84

chiunlee12 · Answer

Solve that and you'll get your answer, but don't forget to multiply it by 100 because it is asking for the percentage :)

love_to_love_you · Answer

Thank you!

chiunlee12 · Answer

No problem