| Assertion (A): A wire is looped in the form of a circle of radius\[\text{28 cm}\]. It is sent into a square. Then the area of the square is \[1936\,c{{m}^{2}}\]. |
| Reason (R): Angle described by a minute hand in 60 minutes\[=360{}^\circ \] |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false but Reason (R) is true
Correct Answer: D
Solution :
| [d] We have, \[2\pi r\] length of wire |
| \[2\times \frac{22}{7}\times 28=\] length of wire |
| length of wire \[=\text{176 cm}\] |
| Now, perimeter of square =176 |
| \[4a=176\] |
| \[a=44\] |
| Area of square \[={{(44)}^{2}}=1936c{{m}^{2}}\] |
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