Find the length of a circle if the area of an inscribed regular triangle is 48 root of 3 dm2

univerkov | November 22, 2020 | education

Using the formula for the area of a triangle S = (a ^ 3 * R) / 4 we find the radius
Let us express the side through another formula
a ^ 2 = S / (sin60 * 1/2)
a = 8 √3
R = S / (0.25a ^ 3)
R = 24
C = 2Πr
C = 48Π

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