tangent to a circle modified

Front

What is a tangent line to a circle?

Back

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

Front

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

Back

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

Front

What is the relationship between a tangent line and the radius of a circle?

Back

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

Front

What does it mean for a polygon to circumscribe a circle?

Back

A polygon circumscribes a circle if all its sides are tangent to the circle.

Front

How do you find the perimeter of a polygon that circumscribes a circle?

Back

The perimeter is the sum of the lengths of all the sides of the polygon.

Front

If a line segment is tangent to a circle, what can be said about the angles formed with the radius?

Back

The angle between the tangent line and the radius at the point of tangency is 90 degrees.

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.

Front

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

Back

The length of the tangent segment can be found using the Pythagorean theorem, where the length of the tangent is 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

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

Back

If 'd' is the distance from the external point to the center and 'r' is the radius, the length of the tangent segment 't' is given by t = √(d² - r²).

Front

What is the relationship between the lengths of two tangent segments drawn from the same external point?

Back

The lengths of two tangent segments drawn from the same external point to a circle are equal.