Question

# 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.Number of spokes4681012Angle between a pair of consecutive spokes$$90^{\circ}$$$$60^{\circ}$$........Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?

Solution

## No. of spokes $$= n$$Total angle in the wheel $$= 360$$Angle between each spoke $$= \cfrac { 360 }{ n }$$Angle between each spoke $$(n = 8) = \cfrac { 360 }{ 8 } = 45$$Angle between each spoke $$(n = 10) = \cfrac { 360 }{ 10 } = 36$$Angle between each spoke $$(n = 8) = \cfrac { 360 }{ 12 } = 30$$Yes, they are inversely proportional.$$4 => 90^{\circ}$$$$6=>60^{\circ}$$$$8=>45^{\circ}$$$$10=>36^{\circ}$$$$12=>30^{\circ}$$Mathematics

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