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Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.(iii)How many spokes would be needed,

Q3. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.

(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is40^{\circ} ?

 

Number of spokes

    4     6    8    10  12

Angle between a pair of consecutive 

  90^{\circ}   60^{\circ}   ....     ....  ....

 

Answers (1)
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If the angle between a pair of consecutive spokes is 40^{\circ}  then,

Number of spokes needed would be \frac{360^{\circ}}{40^{\circ}}=9

Hence the required number of spokes for having 40 degrees of angle is 9.

 

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