Geometry U8: Circle Theorems REVIEW

Front

What is a circle theorem?

Back

A circle theorem is a statement or rule that describes a relationship between angles, arcs, and lines in a circle.

Front

What is the angle at the center of a circle?

Back

The angle at the center of a circle is twice the angle at the circumference subtended by the same arc.

Front

What is the relationship between the angles in the same segment of a circle?

Back

Angles in the same segment of a circle are equal.

Front

What is the measure of an inscribed angle?

Back

An inscribed angle is half the measure of the intercepted arc.

Front

What is the tangent-secant theorem?

Back

The tangent-secant theorem states that the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.

Front

What is the relationship between the radius and the tangent at a point on the circle?

Back

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

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the formula for the area of a circle?

Back

The area (A) of a circle is given by the formula A = πr², where r is the radius.

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the relationship between a diameter and a chord?

Back

A diameter is the longest chord in a circle.