Angles, Arcs, and Chords of Circles

Front

What is an angle in a circle?

Back

An angle in a circle is formed by two rays (sides of the angle) that share a common endpoint (the vertex) and are drawn from the center of the circle to the circumference.

Front

Define a chord in a circle.

Back

A chord is a line segment whose endpoints lie on the circumference of the circle.

Front

What is the relationship between the central angle and the arc it subtends?

Back

The measure of the central angle is equal to the measure of the arc it subtends.

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

What is an inscribed angle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Front

How is the measure of an inscribed angle related to the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is a sector of a circle?

Back

A sector is a region of a circle bounded by two radii and the arc between them.

Front

Define a segment of a circle.

Back

A segment of a circle is the region between a chord and the arc that connects the endpoints of the chord.

Front

What is the measure of a minor arc?

Back

A minor arc is the shorter arc connecting two points on a circle and its measure is less than 180 degrees.