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A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of:

A circle has a radius of 6 in. The inscribed equilateral triangle will have an area-example-1

2 Answers

4 votes

Answer:6 √3

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

User Eduardo Duran Diaz
by
7.6k points
2 votes

Answer:

27√3

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

A circle has a radius of 6 in. The inscribed equilateral triangle will have an area-example-1
User Mpontillo
by
8.3k points

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