3 years ago

An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the circle?

Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer:

c.6.9 units (to the nearest tenth of a unit)

Step-by-step explanation:

sin60=(s/2)/(d/2) where s=side of triangle and d=diameter of circle

sin60=s/d

√(3/4)=s/d

d=s/√(3/4)

d=s√(4/3)

d=2s/√3 and since s=6

d=12/√3

d=√48

d≈6.9282

hope this helps:)sorry if it doesnt

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