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Find the perimeter of an equilateral triangle given the circumscribed circle radius - Equilateral Triangle - Mensuration problem solver

The circumscribed circle radius is 7 cm. Find the perimeter of the equilateral triangle.

Find the perimeter of an equilateral triangle given the circumscribed circle radius

circumscribed circle radius = 7
a =  ( 3 / sqrt(3) ) * R
side = ( 3 / sqrt(3) ) * 7
side = 12.1244
So the side is 12.1244
p =  3 * a
perimeter = 3 * 12.1244
perimeter = 36.3732
So the perimeter is 36.3732

Equilateral triangle Formulas :

A =  (pow( a ,2) * sqrt(3)) / 4

p =  3 * a

s =  p / 4

a =  p / 3

h =  ( a * sqrt(3) ) / 2

m =  ( a * sqrt(3) ) / 2

t =  ( a * sqrt(3) ) / 2

R =  a * ( sqrt(3) / 3 )

r =  a * ( sqrt(3) / 6 )


where,

a = side
p = perimeter
A = area
h = height
m = median
t = angle bisector
R = circumscribed circle radius
r = inscribed circle radius
s = semi perimeter

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