cher7685 cher7685

07-07-2016
Mathematics

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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.

Respuesta :

Edufirst Edufirst

15-07-2016

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]

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