Subtendido

Subtendido is a term used in geometry to describe the relationship between an angle and a line segment or arc. An angle is said to subtend a line segment or arc when the two rays forming the angle have their vertex at the center of a circle and intersect the endpoints of the segment or arc on the circumference. Alternatively, an angle can subtend a line segment or arc when the vertex of the angle lies on the circumference of a circle, and the rays of the angle intersect the circumference at the endpoints of the segment or arc. This concept is fundamental in understanding properties of circles and polygons. For instance, the inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Similarly, in a triangle, an angle subtends the side opposite to it. The measure of an angle is directly related to the length of the segment or arc it subtends, and this relationship is crucial for various geometric proofs and calculations.