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Sagot :
The radius of a circle with the same vertex as a center is 12 units
Application of Pythagoras theorem;
To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:
[tex]sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter[/tex]
Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: https://brainly.com/question/24375372
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