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Solution


Q.

Assertion (A): A wire is looped in the form of a circle of radius 28 cm. It is bent into a square. Then the area of the square is 1936 cm2.

Reason (R): Angle described by a minute hand in 1 minute =6°
1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)  
2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).  
3 Assertion (A) is true but Reason (R) is false  
4 Assertion (A) is false but Reason (R) is true.  

Ans.

(2)

We have radius of circle = 28  cm, therefore length of wire = circumference of circle

⇒Length of wire=2πr=2×227×28=176 cm

Since, this wire is bent to form a square

∴Perimeter of square=length of wire

⇒4x=176⇒x=44 cm  (Where x is the length of the side of the square)

∴Area of square=x2=(44)2=1936 cm2

Also, Angle described by a minute hand in a minute =6°

Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).