Central and Inscribed Angles

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 that extend to the circumference.

Front

What is an inscribed angle in a circle?

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 circumference of the circle.

Front

How do you calculate the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle.

Front

What is the relationship between a central angle and its intercepted arc?

Back

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

Front

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

Back

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

Front

What is a radius of a circle?

Back

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

Front

What is 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 formula for the area of a circle?

Back

The area of a circle can be calculated using the formula A = πr², where r is the radius.

Front

What is the definition of an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

How do you find the measure of an arc given a central angle?

Back

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