Question

The base of a right circular cylinder has a diameter of 5.00 inches. Sally measured the circumference of the base cylinder and recorded it to be 15.5 inches. What is the percent of error in her measurement? Express your answer to the nearest tenth of a percent.

Please explain what you did to get your answer!​

Answer 1

The percent of error in her measurement is 1.3%

Explanation:

we know that

The circumference of a circle is equal to

`C=\pi D`

where

D is the diameter

we have

`D=5\ in`

assume

`\pi=3.14`

substitute

`C=(3.14)(5)=15.7\ in` ----> This value represent the 100% (theoretical value)

Find the difference between the theoretical value and the measured value

`15.7-15.5=0.2\ in`

Find the percentage by proportion

`15.7/100=0.2/x\\ x=100*0.2/15.7\\ x=1.3\%`