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.

(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

Number of spokes

    4     6    8    10  12

Angle between a pair of consecutive 

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

 

 

Answers (1)

The angle between a pair of consecutive spokes on a wheel with 15 spokes is calculated as:

as we know the constant value 'k=360^{\circ}' then we can easily calculate the angle for 15 spokes:

\frac{360^{\circ}}{15}=24^{\circ} 

Hence angle made is 24 degrees.

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