Haryana Police Constable Model Paper 8

GIVEN:
Area of an equilateral triangle $=108\sqrt{3}{\mathrm{cm}}^2$
CONCEPT:
Mensuration
FORMULA USED:
Area of an equilateral triangle $=\frac{\sqrt{3}}{4}{\mathrm{a}}^2$
CALCULATION:
Let side of triangle $=\mathrm{a}$
Area of triangle:
$\frac{\sqrt{3}}{4}{\mathrm{a}}^2=108\sqrt{3}$
$\Rightarrow \mathrm{a}=12\sqrt{3}$
Length of circumradius of an equilateral triangle $=\frac{\mathrm{a}}{\sqrt{3}}$
$=\frac{12\sqrt{3}}{\sqrt{3}}$
$=12\mathrm{cm}$