Circles: Angle & Arc Relationships

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the central angle that intercepts the arc.

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint.

Front

How do you find the measure of an inscribed angle?

Back

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

Front

What is the relationship between inscribed angles that intercept the same arc?

Back

Inscribed angles that intercept the same arc are congruent.

Front

What is a central angle in a circle?

Back

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

Front

How do you find the measure of a central angle?

Back

The measure of a central angle is equal to the measure of the intercepted arc.

Front

What is the relationship between central angles that intercept the same arc?

Back

Central angles that intercept the same arc are congruent.

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 relationship between the diameter and the radius of a circle?

Back

The diameter of a circle is twice the length of the radius (d = 2r).