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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 ......... $m^2$.

Similar Questions

The uncertain digit in the measurement of a length reported as $41.68 \,cm$ is ...........

"Trailing zeros in a number without a decimal point are not significant." Show that this statement is not always true.

Which is the best method to determine significant numbers?

The radius of a thin wire is $0.16 \; mm$. The area of cross-section taking significant figures into consideration in square millimeters is?

What are significant figures? What are significant digits? Explain with examples.

Vedclass Test Series

Exam Paper Generator

Online Exam Module