You find central angle by using proportions. Part/Whole = x/360 Then, cross multiply and divide.
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To find the angle of a triangle within a circle segment, you first need to determine the central angle of the circle segment. Then, you can use the properties of triangles inscribed in circles to find the angle. The angle of the triangle within the circle segment will be half the measure of the central angle.
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You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
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