Tangent Lines and Circles

Front

What is a tangent line?

Back

A tangent line is a straight line that touches a circle at exactly one point, known as the point of tangency.

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

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

Back

The length of the tangent segment can be found using the formula: length = √(distance from the point to the center of the circle² - radius²).

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

What is the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

If two tangent segments are drawn from a single external point to a circle, what can be said about their lengths?

Back

The lengths of the two tangent segments are equal.

Front

What is the definition of a secant line?

Back

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

Front

How do you determine if a line is a tangent to a circle?

Back

A line is a tangent to a circle if it intersects the circle at exactly one point.

Front

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

Back

The angle formed is 90 degrees (right angle).

Front

What is the significance of the point of tangency?

Back

The point of tangency is the only point where the tangent line touches the circle.