CIRCLE GEOMETRY|Lesson Two
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- เผยแพร่เมื่อ 17 ก.ย. 2024
- @alifatic955
Circle geometry encompasses various properties and theorems related to circles, their parts, and their relationships with other geometric figures. Here are some key concepts:
Circle: A set of all points in a plane that are equidistant from a fixed point called the center.
Radius: A line segment from the center of the circle to any point on the circle. All radii of a circle are equal.
Diameter: A line segment passing through the center of the circle with endpoints on the circle. It is twice the length of the radius.
Chord: A line segment with both endpoints on the circle.
Secant: A line that intersects a circle at two distinct points.
Tangent: A line that intersects a circle at exactly one point, called the point of tangency.
Arc: A portion of the circumference of a circle. It is measured in degrees or radians.
Central Angle: An angle whose vertex is the center of the circle.
Inscribed Angle: An angle formed by two chords in a circle with its vertex on the circle.
Sector: A region of a circle enclosed by two radii and an arc.
Some important theorems and properties include:
Pythagorean Theorem: In a right triangle inscribed in a circle, the diameter of the circle is the hypotenuse, and the legs are radii. Thus, the Pythagorean theorem applies:
a2 + be = c2 where c is the diameter and a and
b are the legs of the triangle.
Inscribed Angle Theorem: An inscribed angle is half the measure of the intercepted arc.
Intercepted Arc Theorem: An inscribed angle intercepts an arc that is twice the measure of the angle.
Tangent Secant Theorem: If a tangent and a secant, or two tangents, intersect outside a circle, then the measure of the angle formed is equal to half the difference of the intercepted arcs.
These are just a few fundamental concepts and theorems in circle geometry. Exploring these properties and theorems further can lead to deeper insights into the geometry of circles and their applications in various mathematical problems.
• Circle Geometry_Lesson...
• Pythagoras' theorem
• Pythagoras' theorem
