The length of each side of an equilateral triangle is 14 \sqrt3 cm. The area of the incircle, in cm^{2}, is

SSC CPO SI and ASI 2011 Paper

Question : 131 of 200

Marks: +1, -0

The length of each side of an equilateral triangle is

14 √3

cm. The area of the incircle, in cm

^{2}

, is

Solution:

(3) Inradius of an equilateral triangle with side length

14 √3

cm is

{14 √{3}}/{2√{3}}=7 {cm}

So area of the in circle will be,

{22}/{7} × 7^{2}=22 × 7=154 {cm}^{2}

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