LT G: Tangent to a Circle

Front

What is the diameter of a circle?

Back

The diameter is the longest distance across a circle, passing through the center. It is twice the length of the radius.

Front

A tangent line intersecting with a radius always creates a ____________ angle.

Back

right

Front

If a line is tangent to a circle, what can be said about the angle formed with the radius at the point of tangency?

Back

The angle is a right angle (90 degrees).

Front

In the figure, if a tangent line touches circle C at point B, what is the relationship between the radius to point B and the tangent line?

Back

The radius to point B is perpendicular to the tangent line.

Front

What is the length of a tangent segment from a point outside the circle to the point of tangency?

Back

The length of the tangent segment is equal to the square root of the difference between the square of the distance from the point to the center and the square of the radius.

Front

If the radius of a circle is 8, what is the diameter?

Back

16

Front

In a right triangle formed by a radius and a tangent line, what is the relationship between the lengths of the sides?

Back

The length of the tangent segment is one leg, the radius is the other leg, and the hypotenuse is the distance from the center to the external point.

Front

If a tangent line is drawn to a circle, how many points of intersection does it have with the circle?

Back

One point of intersection.

Front

What is the formula to find the length of a tangent segment from a point outside the circle?

Back

Front

If a tangent line is drawn to a circle and a radius is drawn to the point of tangency, what type of triangle is formed?

Back

A right triangle.