Geometry U8: Circle Theorems REVIEW

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

Back

The tangent is perpendicular to the radius at the point of tangency.

Front

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

Back

The length of the tangent segment can be found using the formula: length = √(distance from point to center² - radius²).

Front

What is the measure of an angle formed by two tangents drawn from a point outside the circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the angle subtended by an arc at the center of the circle?

Back

The angle subtended by an arc at the center is equal to the measure of the arc.

Front

What is the relationship between the angles formed by two chords that intersect inside a circle?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

How do you calculate the measure of an arc?

Back

The measure of an arc can be calculated using the formula: arc measure = (central angle/360) × circumference of the circle.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: C = 2πr, where r is the radius.

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed by a tangent and a chord through the point of contact is equal to the measure of the opposite arc.

Front

What is the definition of a secant line?

Back

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