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  • I have a doubt, kindly clarify. A circular wire of radius 3 cm is cut and bent so as to lie along a circle of radius 48 cm. Find the angle subtended by the wire at the center of the circle.

A circular wire of radius 3 cm is cut and bent so as to lie along a circle of radius 48 cm. Find the angle subtended by the wire at the center of the circle.

  • Option 1)

    \frac{\pi }{8}

  • Option 2)

    \frac{\pi }{4}

  • Option 3)

    \frac{\pi }{6}

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we learnt

 

Radian -

 

Radian is the angle subtended at the centre of a circle by an arc whose length is equal to its radius.

- wherein

 

 

Length of the circular wire = 2pr = 6p cm.

                        Angle subtended by the arc at the centre =

                        Þ  radian =  = 22.50.


Option 1)

\frac{\pi }{8}

Option 2)

\frac{\pi }{4}

Option 3)

\frac{\pi }{6}

Option 4)

none of these

Posted by

Himanshu

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