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 (in degrees) | 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?