Maths-
SAT
Easy

Question


The diagram above represents Edward T. Hall's concept of space surrounding a person de(med by four nonoverlapping regions. Intimate space is the region inside a circle of radius 1 foot. Personal space is the region within a circle of radius 4 feet but outside intimate space. Social space is the region within a circle of radius 12 feet but outside personal space . Public space is the region within a circle of radius 25 feet but outside social space. What is the area, in square feet, of the shaded region representing a person's social space?

  1. 127 straight pi 
  2. 128straight pi 
  3. 144straight pi 
  4. 625straight pi 

The correct answer is: 128straight pi


    Persons social space  = Area of circle with radius 12 feet
    = Area of circle with radius 4 feet
    = π(12)2 = π(4)2
    =144π = 16 π = 128 π

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