MHB Finding distance between two adjacent objects

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To find the distance between two adjacent holes drilled in a circle with a radius of 16.40 cm, one can use the Law of Cosines by forming an isosceles triangle with the circle's center and the two holes. The two equal sides of the triangle represent the radius, and the angle between them can be calculated since there are 12 holes equally spaced around the circle. Alternatively, the Law of Sines can be applied for a simpler computation. Multiplying the radius by 2 is not necessary for this calculation. The discussion emphasizes using trigonometric laws to determine the distance effectively.
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I have a question:

Holes are to be drilled in a metal plate at 12 equally spaced locations around a circle with a radius of 16.40 cm. Find the distance between two adjacent holes.

How do I draw the figure? And would I have to multiply 16.40 by 2 to get the distance?
 
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One way would be to use the Law of Cosines...form an isosceles triangle using the center of the circle and two adjacent holes...you know the two equal sides of the triangle are the radius of the circle, and you know the angle subtending these sides, so you can find the third side using the Law of Cosines. You could also use the Law of Sines here as well, which would likely be computationally simpler.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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