1.

Rehman is making a wheel using spokes. He wants to fix equalspokes in such a way that the angles between any pair of consecutivespokes are equal. Help him by completing the following table. Number of spokes 4 6 8 10 12 Angle between a pair of consecutive spokes 90° 60° … … … (i) Are the number of spokes and the angles formed between thepairs of consecutive spokes in inverse proportion?(ii) Calculate the angle between a pair of consecutive spokes on awheel with 15 spokes.(iii) How many spokes would be needed, if the angle between a pairof consecutive spokes is 40°?

Answer»

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 spokes



4



6



8



10



12



Angle between a pair of consecutive spokes



90°



60°









(i) Are the number of spokes and the angles formed between the
pairs of consecutive spokes in inverse proportion?


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


(iii) How many spokes would be needed, if the angle between a pair
of consecutive spokes is 40°?



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