Tangents to a circle

Front

What is a tangent to a circle?

Back

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

Front

What can be concluded if a line is tangent to a circle?

Back

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

Front

If a line is tangent to a circle, what is the relationship between the line and the circle?

Back

The line does not intersect the circle at any other point except the point of tangency.

Front

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

Back

90 degrees.

Front

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

Back

Use the formula: length of tangent = √(distance from point to center² - radius²).

Front

What is the relationship between two tangents drawn from a single external point to a circle?

Back

The two tangent segments are equal in length.

Front

If a circle has a radius of 5 units, what is the length of a tangent segment from a point 13 units away from the center?

Back

The length of the tangent segment is 12 units.

Front

What is the formula for the perimeter of a circle?

Back

Perimeter (Circumference) = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

Area = πr², where r is the radius.

Front

If a tangent line intersects a radius at a point, what can be said about the angles formed?

Back

The angle between the tangent and the radius is 90 degrees.