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.
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.
From a given line at a specific point, there can be exactly one circle tangent to the line at that point. This circle will have its center located on the perpendicular line drawn from the point to the line. The radius of the circle will be the distance from the center to the point of tangency.
A circle with a tangent line is a geometric configuration where a straight line touches the circle at exactly one point, known as the point of tangency. At this point, the tangent line is perpendicular to the radius of the circle that extends to that point. This relationship highlights the unique property of tangents, as they do not intersect the circle at any other point. Tangent lines are important in various applications, including calculus and physics, as they represent instantaneous rates of change.
Perpendicular
Yes it is. Great work !
The radius-tangent theorem states that a radius drawn to the point of tangency of a circle is perpendicular to the tangent line at that point. This theorem is based on the fact that the radius of a circle is always perpendicular to the tangent line at the point where the tangent touches the circle. This relationship is crucial in geometry and helps in solving various problems related to circles and tangents.
90 degrees. QED.
Perpendicular
perpendicular
perpendicular
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.
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.
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!
The tangent of a circle always meets the radius of a circle at right angles.
4/9*pi*r where r is the radius of the circle.