What do you call a circle which passes through the vertices
of a triangle?
Answer: Circumscribed. The meaning of to
circumscribe, to describe a figure round another so as to touch it at points
without cutting it.
This is exactly what takes place with a circumscribed
circle.
To find the centre of such a circle, we have to bisect the
sides of a triangle and perpendiculars, which are concurrent at the circumcentre.
The radius r of the circumscribed circle of the triangle ABC
is given by:
R = a / 2 sin A = b / 2 sin B = c/ 2 Sin C
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