Mathematics
Grade9
Easy

Question

If a circle has an area of 120pi, then the area of a sector with an angle of 36° is equal to

  1. 60pi    
  2. 36pi    
  3. 24pi    
  4. 12pi    

hintHint:

A equals   pi r to the power of 2 end exponent
Area of the sectorequals fraction numerator A n g l e   o f   sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times   pi r to the power of 2 end exponent

The correct answer is: 12pi


      A equals pi r to the power of 2 end exponent equals 120 pi
    Area of the sectorequals fraction numerator A n g l e   o f   sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times   pi r to the power of 2 end exponent
    =fraction numerator 36 to the power of 0 end exponent over denominator 360 to the power of 0 end exponent end fraction cross times   pi r to the power of 2 end exponent
    = fraction numerator 36 to the power of 0 end exponent over denominator 360 to the power of 0 end exponent end fraction cross times   120 pi
    =12 pi

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