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Find area, chord and arc in a circle

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The spreadsheet attachment provides all of the givens and we are asked to determine the central angle, length of a chord, and the area of the identified circle segment?

See the attached file.

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The solution finds the area, chord and arc in a circle.

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Vector projection and follow-up

The diagram attached shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3).

a) Find vector projections of AG onto the following vectors: AB, [0,1,0], [-1,0,0] and [0,0,1].

b) Find the point on AC that is closest to the midpoint of GH

(The diagram is on page 21 and it is problem 6)
(As you can see I do not need part A of the problem)

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