Question

If an equilateral triangle of each side 6 root 3 cm can be inscribed in a circle , find the radius of the circle

Answer 1

Answer :

• Radius of the circle , a = 6 cm

Given :

• An equilateral triangle of each side 6 root 3 cm can be inscribed in a circle

To Find :

• Radius of the circle , a .

Solution :

Find attachment for clear vision of the problem .

Apply Trigonometric function .

$\implies \bf cos\ 30 = \dfrac{adj.\ side}{Hyp.}\\\\\implies \bf cos\ 30 = \dfrac{s/2}{a}\\\\\implies \bf \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{a}\;[\; Since\ side\ , s=6\sqrt{3}\ cm ]\\\\\implies \bf a=6\ cm$