Circles: Arcs, Angles, & Segments

Front

What is the definition of an inscribed angle?

Back

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

Front

What is a tangent to a circle?

Back

A tangent to a circle is a line, ray, or segment that intersects the circle at exactly one point.

Front

What is the relationship between the inscribed angle and the intercepted arc?

Back

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

Front

What is a secant line?

Back

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

Front

Define a chord in a circle.

Back

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

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 the definition of a radius?

Back

A radius is a line segment from the center of the circle to any point on the circle.

Front

What is the difference between a major arc and a minor arc?

Back

A minor arc is an arc that is smaller than a semicircle, while a major arc is larger than a semicircle.

Front

What is the central angle of a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii.