INSCRIBED ANGLE Meaning and
Definition
-
An inscribed angle is a geometric term that refers to an angle formed by two chords or secants that intersect on the circumference of a circle. It is called "inscribed" as it is enclosed within the circle, with its vertex on the circumference. This angle is significant because it has properties and relationships with other elements of the circle.
To elaborate, when two chords or secants intersect on the circle, the angles they form at the point of intersection are called inscribed angles. An inscribed angle's measurement is equal to half the measure of its intercepted arc. This property is known as the Inscribed Angle Theorem.
Furthermore, inscribed angles have a special relationship with central angles. The measure of an inscribed angle is half the measure of the central angle that intercepts the same arc. The central angle is formed by extending the sides of the inscribed angle to the center of the circle.
Inscribed angles have various applications in geometry, trigonometry, and other mathematical fields. They are utilized in solving problems involving circles, such as determining the measurements of arcs, finding missing angles, and proving geometric theorems related to circles.
Overall, an inscribed angle is an angle formed by intersecting chords or secants on the circumference of a circle, with its measurement equaling half the measure of its intercepted arc. It enjoys unique properties and plays a crucial role in circle-related calculations and proofs.
Common Misspellings for INSCRIBED ANGLE
- unscribed angle
- jnscribed angle
- knscribed angle
- onscribed angle
- 9nscribed angle
- 8nscribed angle
- ibscribed angle
- imscribed angle
- ijscribed angle
- ihscribed angle
- inacribed angle
- inzcribed angle
- inxcribed angle
- indcribed angle
- inecribed angle
- inwcribed angle
- insxribed angle
- insvribed angle
- insfribed angle
- insdribed angle
Etymology of INSCRIBED ANGLE
The word "inscribed" comes from the Latin word "inscribere", which is derived from the prefix "in" meaning "in" or "into", and the verb "scribere" meaning "to write". In geometry, an inscribed angle is formed when the endpoints of the angle lie on a circle, and the vertex of the angle is within the circle. The angle is said to be "inscribed" in the circle because its vertex can be thought of as "written inside" the circle. Thus, the term "inscribed angle" refers to an angle formed by connecting two points on a circle and the center of the circle.
