An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the circle? a. 5.2 b. 6 c. 6.9 d. 7.5

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asked Dec 16, 2020 214k views

2 Answers

Joel Reid · Answer 1 · 2020-12-22T06:00:05+0000

Answer:

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

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