The word "Subtended" is spelled with the prefix "sub-" meaning "under" or "below" and the verb "tend" meaning "to stretch". The stress falls on the second syllable, pronounced as "tend". The IPA phonetic transcription for "subtended" is /səbˈtɛndɪd/. The first syllable is pronounced as "suhb" with a schwa sound, followed by a stressed "tend" with a short e sound, and ending with the suffix "-ed" pronounced as "d". The word is commonly used in geometry to describe the angle that a line or shape forms when drawn between two points.
Subtended is a term used in geometry and trigonometry to describe the relationship between an angle and the length of its corresponding arc or line segment. When an angle is subtended by an arc or a line segment, it means that the endpoints of the arc or line segment lie on the rays that form the angle.
In trigonometry, the concept of subtending is often associated with circles and triangles. In a circle, an angle is subtended by the arc that is intercepted by the rays forming the angle and the circumference of the circle. Similarly, in a triangle, an angle can be subtended by the side opposite to it. The concept of subtending is useful in various calculations involving angles, arcs, and line segments.
The length of the arc or line segment that subtends an angle can be found using the angle's measure and the radius or diameter of the circle involved. Additionally, the properties of angles subtended by the same arc or line segment can be compared and used to solve problems in geometry and trigonometry.
In summary, subtended refers to the relationship between an angle and the arc or line segment that lies between its rays. It is a crucial concept in geometry and trigonometry, allowing for calculations and comparisons involving angles, arcs, and line segments.
The word "subtended" originates from Latin. It is derived from the Latin verb "subtendere", which is a combination of the prefix "sub-" meaning "under" or "beneath", and the verb "tendere" meaning "to stretch". Hence, "subtendere" refers to "to stretch under" or "to extend beneath". Over time, this Latin term made its way into English as "subtend", with the word "subtended" being the past tense or past participle form. In mathematics and geometry, "subtended" is often used to describe the length or angle spanned by a line segment or arc within a shape or figure.