Home » Aptitude » Mensuration » Question
  1. The radius of each circle is ‘a’. Then the area of the shaded portion is :

    1. 3 -
      π
      sq. units
      2
    2. a(πa² - √3) sq. units
    3. a² -
      π
      3 sq. units
      2

    4. None of these
Correct Option: A


AB = BC = CA = 2a

Area of ∆ABC =
3
× (2a)²
4

= √3
Area of three sectors = 3 ×
60
× πa² =
πa²
3602

∴ Area of shaded region = √3a² -
πa²
2

= a²3 -
π
sq.units
2



Your comments will be displayed only after manual approval.