RRB Group D Model Paper 8 with solutions

Question : 90 of 100

Marks: +1, -0

A circle is inscribed in an equilateral triangle of side 8 metre. The approximate area of the unoccupied space inside the triangle is

Solution:

(1)

Inradius of an equilateral triangle with side length 8 m is:

{\side}/{2√3}

8/{2√3}

{4√3}/3

So, area of the remaining portion (shaded portion) is:
A =

√3/4({\side})^2 - πr^2

⇒

√3/4(8)^2 - 22/7({4√3}/3)^2

= 27.7 - 16.7 = 11

m^2

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