Circle geometry: length of triangle lines

64 Views Asked by At

If you know only $a, R, $ and $\theta$, can you find $d$? If so, how? Please explain!

I ran across this problem (not literally) while trying to solve another post on Math Exchange and after scratching my head for a few minutes, I decided to see if anyone else might know.

NOTE: It is not a duplicate. This is a small part of the other problem that I found unsolvable. Even a few Google searches yielded naught!

1

There are 1 best solutions below

2
On BEST ANSWER

HINT

By the law of sines

$$\frac{\sin \theta}R=\frac{\sin \alpha}{R+a}$$

from which we can find $\alpha$.