arc
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If the curve is part of the circumference of the circle, it is called an arc.
A circle *encloses* an area, and the "area of a circle" is the area it encloses, πr^2. A circle is a 1-dimensional curved line; it is a set of points equidistant from a given point (the center), with that distance being the radius of the circle. This means the inside of the circle is not part of the circle (it's called a disk if you include the inside points).To find the area, multiply pi (π) by the radius squared (r^2), so you get πr^2.Yes, it does.
segment
It is a Line Segment.
No, only at one point, perpendicular to the radius