Find the angle and arc measurements. 

a = _____ b = _____ c = _____ d = _____

e = _____ f = _____ g = _____ h = _____

j = _____ k = _____ m = _____ n = _____

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1 Answer

Angles:

h=a=90 (tangent/radius); c=d=f=2*28.65=57.3 (external angle of isosceles triangle and angle, same side angles on parallel lines l1 and l2); e=180-2*57.3=65.4; g=180-57.3=122.7 (d+e=g, opposite angles on intersecting lines).

Arcs, assuming r=1 (unit circle) (57.3º=1 radian approx):

b=j=k=c=d=f in radians=1 approx; m=g=pi-1=2.142 approx; n=e=pi-2=1.142 approx.

If r is not equal to 1, multiply all arc lengths by r.

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