Triangle ABC has circumcenter O. If AB=10 and [OAB=30] find the circumradius of triangle ABC.
[brackets] mean the area
???
How do I solve this?
I've already drawn it out and assumed it was a scalene triangle.
How do I find the radius to find the circumference?
(I'd like hints, not answers, please.)
Thank you! So the radius according to the pythagorean theorem is sqrt61. x2xpi=2sqrt61*pi
AHA!
The radius of the circle is the circumradius. It is called a circumradius because the triangle insribed in the circle has a circumcenter O and O is also the center of the circle
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Here is a reasonably accurate pic, (unless I have done something super stupid)
If you know a bit of trig it should be easy for you to work out the needed radius now.