A public park,in the form of a square,has an | vedclass

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

Question

(A) Let the side length of the square park be $l$. The area of a square is given by $A = l^2$.Given $A = 100 \; m^2$,we have $l = \sqrt{100} = 10 \; m

Vedclass · Accepted Answer

$(10 \pm 0.01)$

Vedclass · Answer

(A) Let the side length of the square park be $l$. The area of a square is given by $A = l^2$.Given $A = 100 \; m^2$,we have $l = \sqrt{100} = 10 \; m$.The relative error in area is related to the relative error in length by the formula $\frac{\Delta A}{A} = 2 \frac{\Delta l}{l}$.Substituting the given values,$\frac{0.2}{100} = 2 \frac{\Delta l}{10}$.Solving for $\Delta l$: $\Delta l = \frac{0.2 	imes 10}{100 	imes 2} = \frac{2}{200} = 0.01 \; m$.Thus,the side of the park is $(10 \pm 0.01) \; m$.

$A$ public park,in the form of a square,has an area of $(100 \pm 0.2) \; m^2$. The side of the park is ............ $m$.

Similar Questions

If $A+C=2B$,then $\frac{\cos C-\cos A}{\sin A-\sin C}$ is equal to

Boron in green plants assists in

Vegetative propagation in $Pistia$ occurs by:

Select the correct statement:

If the position vectors of $A, B, C, D$ are $\hat{i}+2\hat{j}+2\hat{k}, 2\hat{i}-\hat{j}, \hat{i}+\hat{j}+3\hat{k}$ and $4\hat{j}+5\hat{k}$ respectively,then the quadrilateral $ABCD$ is a

Vedclass Test Series

Exam Paper Generator

Online Exam Module