Mathematics
Grade9
Easy

Question

If the angle of the sector with radius 4 units is 45°, what is the area of the sector?

  1. 2pi    
  2. 4pi    
  3. pi/2    
  4. pi    

hintHint:


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: 2pi


    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
    equals fraction numerator 45 to the power of ring operator end exponent over denominator 360 to the power of ring operator end exponent end fraction cross times fraction numerator 22 over denominator 7 end fraction cross times 4 cross times 4
    equals fraction numerator 44 over denominator 7 end fraction square units

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