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In circle O, the m angle D O G= 92° and the length ofarc D Gis 16. Calculate the length of the radius.
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In circle O, the m angle D O G= 92° and the length ofarc D Gis 16. Calculate the length of the radius.

User Yinqiu
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1 Answer

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Relation between circumference, C and the radius, r

C = 2π r

r = C / 2π

Relation betwee C, the angle and the arc

C/360° = arc / angle

C/360° = 16/92°

C = (16*360)/92 =


Substitue:

r = [(16*360)/92] / 2π = 9.96 units [the same unit of the arc DG]

User Titanous
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