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 spokes	4	6	8	10	12
Angle between a pair of consecutive spokes	${90}^{\circ }$	${60}^{\circ }$	...	...	..

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

Answer 1

$No.ofspokes=n,totalangleinthewheel=360Anglebetweeneachspoke=\frac{360}{n}Anglebetweeneachspoke(n=8)=\frac{360}{8}=45Anglebetweeneachspoke(n=10)=\frac{360}{10}=36Anglebetweeneachspoke(n=12)=\frac{360}{12}=30Anglebetweeneachspoke=40=\frac{360}{n}Son=\frac{360}{40}=9$