Hello,
Can you please assist with this:
An equilateral triangle of side 12 is inscribed in a circle, what is the area of
the circle?
OA: C
My approach was as shown in this attachment. One thing I wanted to know was can the base of the triangle i.e. can BC be the diameter of the circle?
From the diagram, I am getting height h of triangle ABC to be 6.
To calculate r I am assuming that OC splits angle ACB (which is 60 degrees) into 2 equal halves of 30 degrees each. I was wondering if this assumption is correct? Can it happen that OC splits angle ACB into 2 halves of 40 degrees and 20 degrees each?
Thanks for your help,
Sri
O
Can you please assist with this:
An equilateral triangle of side 12 is inscribed in a circle, what is the area of
the circle?
OA: C
My approach was as shown in this attachment. One thing I wanted to know was can the base of the triangle i.e. can BC be the diameter of the circle?
From the diagram, I am getting height h of triangle ABC to be 6.
To calculate r I am assuming that OC splits angle ACB (which is 60 degrees) into 2 equal halves of 30 degrees each. I was wondering if this assumption is correct? Can it happen that OC splits angle ACB into 2 halves of 40 degrees and 20 degrees each?
Thanks for your help,
Sri
O
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