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

The diameter is 6.92 unit.

Step-by-step explanation:

Given : An equilateral triangle with sides of length 6 is inscribed in a circle.

To find : What is the diameter of the Circle?

Solution :

First we picture the situation.

Refer the attached figure below.

We that the angles of equilateral triangle is 60 degrees.

Then, we divide the triangle into two parts to solve the radius.

As,

∠ACD is 60°

In triangle OCD,

Diameter = 2r=2(3.4641)=6.92 unit.

Therefore, The diameter is 6.92 unit.

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step-by-step explanation:

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image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: