Direct and Inverse Proportions Assignments 9
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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