Mathematics
Grade9
Easy

Question

Find the perimeter of sector whose area is 324 square cm and the radius is 27 cm.

  1. 78 cm    
  2. 86 cm    
  3. 63 cm    
  4. 69 cm    

hintHint:

A equals   pi r to the power of 2 end exponent
Circumference = 2×pi×r

The correct answer is: 78 cm


    Area of sector equals 324 text end text c m to the power of 2 end exponent
    fraction numerator r l over denominator 2 end fraction equals 324
    Multiply each side by 2.
    r l equals 648
    Substitute 27 for r.
    27 I equals 648
    Divide each side by 27 .
    I=24cm
    Perimeter of sector is
    =I+2r
    =24+2(27)
    =24+54
    =78 cm

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