1.

The circumference of a circle is measured as 28cm with an error of0.01cm. The percentage error in the area is

Answer» let say `c=`circumference
`A=` area
`r=` radius
`c= 28 = 2 pi r`
`r = 14/pi`
`del c = 2 pi del r= 0.01`
`del r= 001/(2 pi)`
`A= pi r^2`
`del A = 2 pi r del r `
`del A/A = (2 pi r del r)/(pi r^2)= (2 del r )/r xx 100`
`%` error = `(2 xx (0.01/(2 pi)) xx 100)/(14/pi)`
`= 1/14`
Answer


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