Mathematics
Grade9
Easy

Question

The circumference of a circle is 24 cm. A sector within the same circle creates an arc of 6 cm. What is the angle of the sector?

  1. 90°    
  2. 180°    
  3. 270°    
  4. 360°    

hintHint:

Arc length = fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r

The correct answer is: 90°


    Arc length = (fraction numerator a r c blank a n g l e over denominator 360 end fraction) × circumference
    6 = (fraction numerator x over denominator 360 end fraction) cross times 24
    x = 90°

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