Question

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

Answer 1

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

Answer 2

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