The radius of a circle is 2.12 m. Its area a | vedclass

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(A) The area of a circle is given by the formula $A = \pi r^2$.Given,radius $r = 2.12 \ m$.Here,$r$ has $3$ significant figures.$A = 3.14159 	imes (2

Vedclass · Accepted Answer

$14.1$

Vedclass · Answer

(A) The area of a circle is given by the formula $A = \pi r^2$.Given,radius $r = 2.12 \ m$.Here,$r$ has $3$ significant figures.$A = 3.14159 	imes (2.12)^2$.$A = 3.14159 	imes 4.4944 = 14.11965... \ m^2$.According to the rules of significant figures,the result of multiplication should have the same number of significant figures as the measurement with the least number of significant figures.Since $2.12$ has $3$ significant figures,the final result must be rounded off to $3$ significant figures.Rounding $14.11965$ to $3$ significant figures gives $14.1 \ m^2$.

The radius of a circle is $2.12 \ m$. Its area according to the rule of significant figures is ......... $m^2$.

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