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Is a circle technically a line?

Is a circle technically a line?

A circle is a type of line. Imagine a straight line segment that is bent around until its ends join. Then arrange that loop until it is exactly circular – that is, all points along that line are the same distance from a center point. A circle is a line, and so, for example, has no area – just as a line has no area.

Is a circle a line segment?

A radius of a circle is a line segment which goes from the center of a circle to a point on the circle. 14. A line that meets a circle in exactly one point is called a tangent to the circle. If O is the center of a circle and B and C are points on the circle, then angle BOC is called a central angle.

Is a line segment the same as a line Why or why not?

A line can be named either using two points on the line (for example, ↔AB ) or simply by a letter, usually lowercase (for example, line m ). A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

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What type of line is a circle?

A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.

What is segment in a circle?

In geometry, a circular segment (symbol: ⌓) is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord.

What is a line segment between the center and a point on the circle or sphere?

Radius. A line segment between the center and a point on the circle or sphere. The word radius also refers to the length of this segment.

Which is a line segment?

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

Why is a circle a line?

Constant curvature. You may define a circle as a line of constant curvature, and without endpoints. You may imagine curvature as the inverse of the radius, but you can define it in other ways as well. Obviously, for the case of zero curvature and therefore infinite radius, you will obtain a line.

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Which defines a circle?

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Which defines a line segment?

What is a line that passes through a sphere called?

A line that passes through the center of a sphere has two intersection points, these are called antipodal points. Planes through a sphere A plane can intersect a sphere at one point in which case it is called a tangent plane. Otherwise if a plane intersects a sphere the “cut” is a circle.

How do you determine if a line segment intersects a sphere?

Line segment intersects at two points, in which case both values of u will be between 0 and 1. Line segment is tangential to the sphere, in which case both values of u will be the same and between 0 and 1. When dealing with a line segment it may be more efficient to first determine whether the line actually intersects the sphere or circle.

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What is the definition of a circle of a sphere?

A circle of a sphere can also be defined as the set of points at a given angular distance from a given pole. When the intersection of a sphere and a plane is not empty or a single point, it is a circle. This can be seen as follows: Let S be a sphere with center O, P a plane which intersects S. Draw OE perpendicular to P and meeting P at E.

What is the intersection of a plane and a sphere?

A plane can intersect a sphere at one point in which case it is called a tangent plane. Otherwise if a plane intersects a sphere the “cut” is a circle. Lines of latitude are examples of planes that intersect the Earth sphere. A great circle is the intersection a plane and a sphere where the plane also passes through the center of the sphere.