Mathematics
Grade9
Easy

Question

A circle of radius 5, for an angle x, has an arc length of 3pi. What is angle x?

  1. 144 degrees    
  2. 108 degrees    
  3. 43.5 degrees    
  4. 96 degrees    

hintHint:

Arc length = (fraction numerator m e a s u r e blank o f blank a r c over denominator 360 blank d e g r e e s end fraction)×circumference

The correct answer is: 108 degrees


    Arc length = (fraction numerator m e a s u r e blank o f blank a r c over denominator 360 blank d e g r e e s end fraction)×circumference
    Let measure of arc be c.
    2pi=360 degrees ; pi=180 degrees
    3pi=(fraction numerator x over denominator 2 pi end fraction)×2×pi×5
    x=fraction numerator 3 pi over denominator 5 end fraction=108 degrees

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