Mathematics
Grade9
Easy

Question

A circle has a circumference of 8. It has an arc length of fraction numerator 32 over denominator 5 end fraction. What is the central angle of the arc in degrees?

  1. 268°    
  2. 320°    
  3. 288°    
  4. 316°    

hintHint:

Arc length = (fraction numerator a n g l e blank o f blank a r c over denominator 360 end fraction) × circumference

The correct answer is: 288°


    Arc length = (fraction numerator a n g l e blank o f blank a r c over denominator 360 end fraction) × circumference
    fraction numerator 32 over denominator 5 end fraction= (fraction numerator X over denominator 360 end fraction) × 8
    x = 288°

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