SOLUTION: In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but s

Algebra.Com
Question 429585: In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but show me how one would accomplish this problem.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In circle O, the m angle DOG = 92° and the length of arc DG is 16.
Calculate the length of the radius. Use 3.14 for π.
How would you find this?
Do not tell me the answer but show me how one would accomplish this problem.
------
Convert the 92 degrees to radians by multiplying by pi/180
----
Use the formula: "arc length = (theta)*radius" to find the radius.
=======================
Cheers,
Stan H.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but show me how one would accomplish this problem.
-----------------
total circumference


r =~ 9.964
----------------
Using radians is recommended, as the other tutor did.
It simplifies things, tho they're scary at first.

RELATED QUESTIONS

In circle O, the measure of angle DOG =92 and the length of arc DG is 16. calculate the... (answered by josgarithmetic,MathTherapy)
Find the radius of the circle when the central angle is π/2 and the arc length is... (answered by Alan3354)
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of... (answered by Alan3354)
In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of... (answered by Alan3354)
In a circle with a radius of 9 yd, an arc is intercepted by a central angle of π/6... (answered by Alan3354)
A minor arc AB of a circle, centre O and radius 10 cm, subtends an angle x at O. The... (answered by ikleyn)
The length of the arc intercepted by a central angle of 2 radians in a circle of radius... (answered by macston)
Find the arc length of the subtending arc for an angle of radians on a circle of radius... (answered by Fombitz)
Find the arc length of a circle given the central angle is 2/3 radians and the radius is... (answered by Alan3354)