# Setting up Trigonometric Problem Using Radius of a Circle

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I would like to get some help in setting up this problem.

I tried using the radius of the circle as one side of the triangle but have not been able to get the answer

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The expert examines setting up trigonometric problems using radius of a circle.

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See attachment.

Angle MCL = beta/2

Angle LOB = 90 -beta/2

HI = radius*sin(90-beta/2) = 0.5*cos(beta/2)

GH = GI - HI

GI = A - FG = 3 - 1.0625 = 1.9375

=> GH = ML = GI - HI = 1.9375 - 0.5*cos(beta/2)

JM = 0.5*cos(90-beta/2) = 0.5*sin(beta/2)

MK = radius - JM = 0.5 - 0.5*sin(beta/2)

MC = KC - MK

KC = ...

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