A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of:
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Answer:6 √3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r
√
3
where r is the radius of the circle
Therefore, Area =
√
3
a
2
4
a
=
6
√
3
Answer:
27√3
Step-by-step explanation:
Length of a side of an equilateral triangle inscribed in a circle =
r√3, where r is the radius of the circle
Therefore, Area =
√3 a^2/4
a=6√3
a/Asin = b/Bsin = c/Csin
c = a * sin C/sin A = 6(sin 120/sin 30) = 6√3