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If a circle has the area A and radius r, thenA = pi * r^2
An angle in a circle who's vertex is on the circle.
That is the definition of the incenter; it is the center of the inscribed circle.
The circumference of any circle divided by its diameter is equal to pi
No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.