A tangent of a circle is a straight line that touches the circle's circumference at just one point
Point of Tangency
Yes it is. Great work !
Yes it is. Great work!
When a line touches a point on the circumference of a circle, it is referred to as a tangent. A tangent to a circle is a straight line that intersects the circle at exactly one point, known as the point of tangency. At this point, the tangent is perpendicular to the radius drawn to the point of tangency. This unique relationship defines the geometric properties of tangents in relation to circles.
True
Point of Tangency
Perpendicular
true
Yes it is. Great work !
Yes it is. Great work!
Definition: a tangent is a line that intersects a circle at exactly one point, the point of intersection is the point of contact or the point of tangency. a tangent is a line that intersects a circle at exactly one point, the point of intersection is the (point of contact) or the **point of tangency**.
When a line touches a point on the circumference of a circle, it is referred to as a tangent. A tangent to a circle is a straight line that intersects the circle at exactly one point, known as the point of tangency. At this point, the tangent is perpendicular to the radius drawn to the point of tangency. This unique relationship defines the geometric properties of tangents in relation to circles.
90 degrees. QED.
True
Yes, the point at which a tangent line intersects a circle is indeed called the point of tangency. At this point, the tangent line touches the circle at exactly one location, and it is perpendicular to the radius drawn to that point. This relationship is fundamental in geometry, particularly in the study of circles and tangents.
A line joining the centres of two tangent circles also passes through the point of tangency.
Early astronomers called this an "epicycle"; a whirling circle whose center was traveling in a larger circle. They used this to try to explain the observed motions of the planets, because Aristotle said that all motion in the heavens was circular, and so ellipses were right out!