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Where does a circle intersect a line?
if the distance is less than the radius, the line must intersect the circle at two distinct points. if the distance is equal to the radius, then the line will touch the circle. if the distance is greater than the radius, the line will lie completely outside the circle.
What is a line that intersects a circle at two points?
: A secant line to a circle is a line that intersects a circle in exactly two points. Tangent line: A tangent line to a circle is a line in the same plane that intersects the circle in one and only one point.
Is a line that touches the circle at exactly one point?
tangent line to
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle’s interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
Does every diameter intersects the circle in exactly two points?
Answer Expert Verified Diameter passes through the center of the circle, it doesn’t intersect at any point in the circle since its endpoints are on the circle. Twice the radius is diameter. Chord – line segment that connects two points on the circle.
What are the secants of the circle?
A secant of a circle is a line that intersects a circle at two distinct points. Secant is derived from the Latin word secare which means to cut. It can also be understood as the extension of the chord of a circle that goes outside the circle.
When does a plane intersect a sphere it is a great circle?
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. A great circle is the intersection a plane and a sphere where the plane also passes through the center of the sphere.
Where does the intersection of two great circles occur?
Each great circle lies on a plane that goes through the center of the earth. The intersection of those planes is a line (assuming they are not both the exact same plane.) That intersecting line crosses the surface of the earth at two points — exactly where our two great circles intersect.
How to find the intersection of two arcs on a sphere?
I have two arcs on a sphere that are defined as pair of points: ( θ 0, φ 0), ( θ 1, φ 1). I need to find a point where they intersect, or some indication if they don’t.
Is the intersection of two planes a line?
The intersection of those planes is a line (assuming they are not both the exact same plane.) That intersecting line crosses the surface of the earth at two points — exactly where our two great circles intersect. Our mission is thus: (1) find the planes.