Subtend definitions
| Word backwards | dnetbus |
|---|---|
| Part of speech | Subtend is a verb. |
| Syllabic division | sub-tend |
| Plural | The plural form of the word "subtend" is "subtends." |
| Total letters | 7 |
| Vogais (2) | u,e |
| Consonants (5) | s,b,t,n,d |
Understanding Subtend in Geometry
Definition and Explanation
Subtend is a term commonly used in geometry to describe the angle formed between two lines that meet at a point on a curve or circle. In simpler terms, it refers to the size of the angle that is formed by the two lines when they meet at a specific point.How Subtend is Calculated
To calculate the angle subtended by two intersecting lines, one needs to measure the angle between the two lines at the point where they meet. This angle is often measured in degrees or radians depending on the context of the problem.Applications of Subtend
In Circles
In the context of circles, subtend is used to determine the central angle of a circle, which is the angle formed at the center of the circle by two radii. This concept is crucial in understanding the properties and relationships of angles within circles.In Triangles
Subtend is also applicable in the study of triangles, where it helps in calculating various angles and side lengths. By understanding how angles are subtended by specific lines within a triangle, one can solve geometry problems effectively.Overall, the concept of subtend plays a fundamental role in geometry, particularly when it comes to understanding angles formed by intersecting lines in circles and shapes like triangles. By grasping this concept, one can delve deeper into the world of geometry and solve complex problems with ease.
Subtend Examples
- The angle subtended by the hands of a clock at 3 o'clock is 90 degrees.
- The arc length subtended by a central angle of 60 degrees in a circle of radius 5 units is 5π units.
- The tower subtends an angle of 2 degrees when viewed from a distance of 1 kilometer.
- The stake subtends a right angle at the observer's position, indicating perpendicularity.
- The mountains on the horizon subtend an angle of approximately 30 degrees from my viewpoint.
- The two students measured the angle subtended by the tree from different positions to calculate its height.
- The shadow of the flagpole subtends a certain length on the ground, indicating the angle of elevation of the sun.
- The building subtends an angle of 45 degrees as observed from the top of the nearby hill.
- The angle subtended by the sailboat mast against the backdrop of the sunset was truly picturesque.
- A large mirror was placed to subtend the widest possible angle of reflection in the room.