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