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The radius of the circle is a line from the center of the circle to its circumference
The radius of the circle with the same vertex as a center is 10.16 units
<h3>How to determine the radius</h3>From the question, we understand that:
- The adjacent sides of the triangle are 12 and
- The triangle has an angle of 60 degrees
Start by calculating the area of the triangle using:
So, we have:
This gives
The arc divides the triangle into two equal regions.
So, the area of the arc is:
Also, the area of the arc is:
So, we have:
Simplify
This gives
Divide both sides by 0.523
Take the square roots of both sides
Hence, the radius of the circle with the same vertex as a center is 10.16 units
Read more about circumcised triangles at:
