Lines and Segments that Intersect Circles

Front

What is a tangent line to a circle?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point.

Front

What are points of tangency?

Back

Points of tangency are the points where a tangent line touches the circle.

Front

What is a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

What is the relationship between a radius and a tangent line at the point of tangency?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

What is the definition of a circle?

Back

A circle is the set of all points in a plane that are equidistant from a fixed point called the center.

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula C = 2πr, where r is the radius.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula A = πr², where r is the radius.

Front

What does it mean for two segments to be equal in the context of circles?

Back

Two segments are equal if they have the same length, which can occur in various geometric configurations involving circles.

Front

What is the significance of the chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle, and it can be used to define various properties of the circle.

Front

How do you find the length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment from a point outside the circle to the point of tangency can be found using the Pythagorean theorem.