Asked by canfdice
In circle O, m angle D O G= 92°, and the length ofarc D Gis 16. Assuming that O is the center of the circle, calculate the length of the radius. Round your answer to the nearest hundredth.
Answers
Answered by
Reiny
the arc-length can be found this way
arc = rØ, where r is the radius and Ø is the angle in radians.
92/180 = Ø/π
Ø = 92π/180
16 = r(92π/180
r = 16(180)/(92π) = appr 9.96 units
check:
92° is very close to a right angle, so the perimeter would be 64 units had it been 90°
2πr = 64
r = 64/(2π) = 10.2
my answer is reasonable.
arc = rØ, where r is the radius and Ø is the angle in radians.
92/180 = Ø/π
Ø = 92π/180
16 = r(92π/180
r = 16(180)/(92π) = appr 9.96 units
check:
92° is very close to a right angle, so the perimeter would be 64 units had it been 90°
2πr = 64
r = 64/(2π) = 10.2
my answer is reasonable.
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