Question

An equilateral triangle has side 3 root 3 then radius of circumcircle is

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf r=3\:cm }}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Side of equilateral triangle (s)=$\sf{3\sqrt{3}}$

$\large\underline\pink{\sf To\:Find: }$

• Radius of circumcircle (r) = ?

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We know ,

$\Large{♡}$$\large{\boxed{\sf r=\frac{s}{\sqrt{3}}}}$

Here ,

r = Radius of circumcircle

s = side of Lenght of equivalent Triangle

$\large\implies{\sf s=3\sqrt{3}}$

$\large\implies{\sf r=\frac{s}{\sqrt{3}}}$

$\large\implies{\sf r=\frac{3\sqrt{3}}{\sqrt{3}}}$

On rationalisation :-

$\large\implies{\sf r=\frac{3\sqrt{3}}{\sqrt{3}}×\frac{\sqrt{3}}{\sqrt{3}}}$

$\large\implies{\sf r=3cm}$

$\huge\red{♡}$$\large\red{\boxed{\sf r=3\:cm }}$

Hence ,

The radius of its circumcircle is 3cm.

Answer 2

$\Large\underline{\underline{\sf \green{Given}:}}$

• Side of equilateral triangle (s) = $\sf{3\sqrt{3}}$

$\Large\underline{\underline{\sf \green{To\:Find}:}}$

• Radius of circumcircle (R) = ?

$\Large\underline{\underline{\sf \green{Formula\:Used}:}}$

${\boxed{\sf \red{Radius\:of\: circular (R)=\dfrac{Side\:of\: triangle}{\sqrt{3}}} }}$

$\Large\underline{\underline{\sf \green{Solution}:}}$

$\implies{\sf R=\dfrac{3\sqrt{3}}{\sqrt{3}} }$

On Rationalisation :-

$\implies{\sf R=\dfrac{3\sqrt{3}}{\sqrt{3}}×\dfrac{\sqrt{3}}{\sqrt{3}} }$

$\implies{\sf R=3\:cm }$

$\Large\underline{\underline{\sf \green{Answer}:}}$

⛬ Radius of Circumcircle is 3 cm.