Mathematics
Grade9
Easy

Question

The sector below has an arc length of 62 cm and a radius of 18.5 cm. Calculate the length of x.

  1. 186°    
  2. 146°    
  3. 192°    
  4. 175°    

hintHint:

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

The correct answer is: 192°


    Arc length = fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r
    62 = fraction numerator x over denominator 360 end fraction cross times 2 cross times pi cross times 18.5
    62 = fraction numerator x over denominator 360 end fraction cross times 37 cross times pi
    fraction numerator 62 over denominator 37 end fraction = fraction numerator x over denominator 360 end fraction cross times pi
    0.533384… = fraction numerator x over denominator 360 end fraction
    192.018… = x

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