MCQ
A public park, in the form of a square, has an area of $(100 \pm 0.2)\; m ^2$. The side of park is ............ $m$
- ✓$(10 \pm 0.01)$
- B$(10 \pm 0.1)$
- C$(10 \pm 0.02)$
- D$(10 \pm 0.2)$
✓
Answer
Correct option: A.
$(10 \pm 0.01)$
a
Let the side length of the square park is 1 . The area of a square is given as,
Let the side length of the square park is 1 . The area of a square is given as,
$A=1^2$
$100=1^2$
$1=10\,m$
The error in length is given as,
$\frac{\Delta A }{ A }=2 \frac{\Delta l }{1}$
$\frac{0.2}{100}=2 \frac{\Delta l }{10}$
$\Delta l =0.01\,m$
Thus, the side of the park is $(10 \pm 0.01)\,m$.
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