



 
Hi Ashutosh. The length of an arc is related to the radius and the central angle in the formula
where s is the arc length, r is the radius and θ is the angle in radians. Remember that to convert from radians to degrees, 2π radians = 360 degrees, so if φ = the angle in degrees, then the equation becomes this:
You know s = 440 cm and r < 100 cm. Thus,
This simplifies:
So you know the angle must be at least 253 degrees. To complete the problem, pick any three integer angles larger than 253 degrees (and less than 360 degrees obviously) and compute the corresponding radius using the second equation I showed you. Cheers,  


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