Lines and Segments that Intersect Circles

Front

What is the point where a tangent intersects a circle called?

Back

The point of tangency.

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle. For example, \( \overline{HC} \) is a chord.

Front

What is the diameter of a circle?

Back

The diameter is a chord that passes through the center of the circle. For example, AD is a diameter.

Front

What is a radius of a circle?

Back

A radius is a line segment from the center of the circle to any point on the circle. For example, \( \overline{DA} \) is a radius.

Front

How do you calculate the length of a chord given the radius and the angle subtended at the center?

Back

The length of a chord can be calculated using the formula: \( L = 2r \sin(\frac{\theta}{2}) \), where \( r \) is the radius and \( \theta \) is the angle in radians.

Front

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

Back

A tangent to a circle is perpendicular to the radius drawn to the point of tangency.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: \( C = 2\pi r \), where \( r \) is the radius.

Front

What is the area of a circle?

Back

The area of a circle is given by the formula: \( A = \pi r^2 \), where \( r \) is the radius.

Front

What is the definition of a secant line?

Back

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

Front

What is the difference between a chord and a secant?

Back

A chord is a line segment with both endpoints on the circle, while a secant is a line that intersects the circle at two points.