Area of the incircle of an equilateral triangle with side

Home » Aptitude » Mensuration » Question

Area of the incircle of an equilateral triangle with side 6 cm is

1. π sq. cm
  2
2. √3π sq. cm.
3. 6π sq. cm.
4. 3π sq. cm.

Correct Option: D

DB = DC = 3cm.
AD = √AB² - BD² = √6² - 3²
= √36 - 9 = √27 = 3√3 cm.

∴ OD = In-radius =	1	× 3√3 = √3 cm.
	√3

∴ Area of the in-circle = πr²
= π × √3 × √3 = 3π sq.cm.