Rehman is making a wheel using spokes He wants to fix equal spokes in such a way that the angles bet...

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 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 degree

Accepted Answer

Solution Here the number of spokes is increasing and the angle between a pair of consecutive spokes is decreasing So it is an inverse proportion and the angle at the center of a circle is 360 degrees When the number of spokes is 8 then the angle between a pair of consecutive spokes 3608 45 degree When the number of spokes is 10 then the angle between a pair of consecutive spokes 36010 36 degree When the number of spokes is 12 then the angle between a pair of consecutive spokes 36012 30 degree i Yes the number of spokes and the angles formed between a pair of consecutive spokes is in inverse proportion ii When the number of spokes is 15 then the angle between a pair of consecutive spokes 36015 24 degree iii The number of spokes would be needed 36040 9

NCERT Solutions Class 8 Mathematics Solutions for Exercise 13.2 in Chapter 13 - Direct and Inverse Proportions