The spelling of "plane angle" is derived from its pronunciation. "Plane" is pronounced as "pleɪn," with the long "a" sound and an emphasis on the "n" at the end. "Angle" is pronounced as "æŋɡəl," with a short "a" sound and stress on the "g" in the middle. When these two words are put together, the stress is on the first syllable of "plane" and the second syllable of "angle," creating the word "plain-ang-guhl." A plane angle is an angle formed by two intersecting lines in a flat (or plane) surface.
A plane angle is a geometric concept used to measure the amount of turn or rotation between two intersecting lines or line segments in a plane. It is a vital element in the field of geometry, providing a fundamental means of quantifying the inclination or tilt between two lines.
A plane angle is formed by two distinct rays or line segments that share a common endpoint, known as the vertex of the angle. These rays or line segments are referred to as the arms of the angle. The amount of rotation or inclination between the arms determines the measurement of the plane angle.
The unit used for measuring plane angles is typically degrees (°) or radians (rad). A complete rotation in a plane covers an angle of 360 degrees or 2π radians.
Plane angles are classified based on their measurements. An angle measuring less than 90 degrees is considered an acute angle, while an angle measuring exactly 90 degrees is a right angle. An angle measuring more than 90 degrees but less than 180 degrees is an obtuse angle, and an angle measuring exactly 180 degrees is a straight angle. Additionally, an angle measuring more than 180 degrees but less than 360 degrees is a reflex angle.
Moreover, plane angles can be added, subtracted, or compared through mathematical operations involving their measurements, facilitating calculations in geometry and various real-life applications requiring angle measurements.
An angle contained by two straight lines or surfaces.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "plane" in the term "plane angle" refers to a two-dimensional surface or a flat surface. The etymology of the word "plane" can be traced back to the Latin word "planus", meaning "flat" or "level". The term "angle" comes from the Latin word "angulus", meaning "corner" or "angle". Therefore, the etymology of the term "plane angle" lies in the combination of these two words, denoting an angle formed on a flat surface.