A wheel has 12 spokes placed at equal distances along the circumference. The angle between any two consecutive spokes will be
30°
60°
90°
12°
Circumference of the wheel having 12 spokes =360°
1 spoke =360°12=30°
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
…
(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°?