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Raj P Raj

· started a discussion

· 1 Months ago

R= a/root3 (Question: 108713.0 )

R= a/root3

Question:

What will be the ratio of the area of the equilateral triangle to the area of its circum circle?

Options:
A) 1 : 2
B) \(\sqrt[]{3}\) : 2
C) \(\sqrt[]{3}\) : 4
D) None of these 
Solution:
Ans: (d) Let the side of an equilateral triangle be ‘a’.

Radius of the circum circle = \(\cfrac{a^3}{4\triangle}\)

(Where \(\triangle\) is the area of the triangle)

Now, area of the circum circle = \(\pi \left ( \cfrac{a^3}{4\triangle} \right )^2\)

Area of equilateral triangle = \(\cfrac{\sqrt[]{3}}{4}a^2\)

Required Ratio = 


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Given answer is correct.please read carefully and try again.
Radius of the circumcircle of a triangle (equilateral triangle )
= a.a.a/(4*area of triangle)
in case of other triangle having a, b, c side = a.b.c/4{Root (s(s-a) (s-b) (s-c)}

keep learning keep solving
Best wishes
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