Circles: Tangents, Secants and Chords Properties Definition of a Circle: A circle is a plane figure with a center point and a fixed distance (the radius...
Circles: Tangents, Secants and Chords Properties
Definition of a Circle: A circle is a plane figure with a center point and a fixed distance (the radius) from the center to any point on the circle.
Tangent: A tangent is a line segment from the center of a circle to a point outside the circle. A tangent makes an angle of 90 degrees with the radius at the point of tangency.
Secant: A secant is a line segment that intersects a circle at two points. The opposite angles formed by the secant and the chord are equal.
Chord: A chord is a line segment that connects two points on a circle. A chord can intersect the circle at more than one point.
Tangents and Secants:
A tangent and a secant always intersect at one point.
The distance from the center to any point on a tangent is equal to the radius.
The angle formed by a chord and a tangent is equal to 90 degrees.
Properties of Circles:
The circumference of a circle is the length of the circle's circumference, which is 2π times the radius.
The area of a circle is calculated using the formula πr², where r is the radius.
The perimeter of a circle is the length of the circle's perimeter, which is 2πr.
Examples:
A line segment from the center to a point on the circle is a tangent.
A line segment from the center to a point outside the circle is a secant.
A chord that connects two points on the circle is a diameter.
The circumference of a circle is always greater than 2π times its radius