10.3- Tangent Lines on 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 and makes a 90-degree angle with the radius at that point.

Front

What is the definition of the radius of a circle?

Back

The radius of a circle is the distance from the center of the circle to any point on its circumference.

Front

How do you calculate the perimeter of a circle?

Back

The perimeter (circumference) of a circle can be calculated using the formula C = 2πr, where r is the radius.

Front

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

Back

A tangent line is perpendicular to the radius of the circle at the point where the tangent touches the circle.

Front

If the diameter of a circle is 16, what is the radius?

Back

The radius is half of the diameter, so the radius is 8.

Front

What is the formula for the diameter of a circle?

Back

The diameter of a circle is calculated as D = 2r, where r is the radius.

Front

If a line segment is tangent to a circle, how many points does it intersect the circle?

Back

A tangent line intersects the circle at exactly one point.

Front

What is the formula for the circumference of a circle if the radius is known?

Back

The circumference C = 2πr, where r is the radius.

Front

What is the relationship between the radius and the diameter of a circle?

Back

The diameter is twice the length of the radius (D = 2r).

Front

If a circle has a radius of 10, what is its diameter?

Back

The diameter is 20, calculated as D = 2r.