In cricle O, angle DOG =92 and arc DG=16. What is length of radius?

Question

In cricle O, angle DOG =92 and arc DG=16.  What is length of radius?

anonymous · Answer

i think you need to convert 92 degrees into radian first :)

anonymous · Answer

haven't learned that

anonymous · Answer

92 times pi divided by 180 to make your 92 degrees into radian.. which the answer is

$$\frac{ 23\pi }{ 45 }$$

anonymous · Answer

then you have your arc length which is16...
are you familiar with the formula in finding the arc's length?

$$S= r \theta $$

anonymous · Answer

16=1.6
=10 and then teake the sq rt of 10 =3.16????

anonymous · Answer

since you have the arc's length and the theta.

you can change the equation into

$$r = \frac{ S }{ \theta } $$

anonymous · Answer

with that equation, you can now solve for the radius of your circle :)

anonymous · Answer

haven't learned theta or sine yet

anonymous · Answer

wait. is the central angle of the circle is O?

anonymous · Answer

the only angle measurement given is 92 degrees

anonymous · Answer

yes

anonymous · Answer

|dw:1407681260704:dw| is it like this?

anonymous · Answer

yep

anonymous · Answer

ot this?
|dw:1407681364204:dw|

anonymous · Answer

my choices for answer are:  3.16, 4.97, 19.93,9.94

anonymous · Answer

ahhhhh okay.. wait... i'll draw for the answer :D

anonymous · Answer

sorry-like the second picture -with center angle

anonymous · Answer

vertex in center not on circle

anonymous · Answer

soooo.. it's the second image?

anonymous · Answer

yes

anonymous · Answer

|dw:1407681639268:dw|