GEOMETRY: Inscribed Angles and Central Angles (1)

Front

What is 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.

Front

What is a central angle?

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 circle.

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 an intercepted arc?

Back

An intercepted arc is the arc that lies in the interior of an inscribed angle and has endpoints on the angle.

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 a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle. It may or may not pass through the center.

Front

What is the difference between a chord and a diameter?

Back

A diameter is a special type of chord that passes through the center of the circle and is the longest chord.

Front

What type of angle is formed by an inscribed angle that intercepts a semicircle?

Back

A right angle.

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 radius of a circle?

Back

The radius is the distance from the center of the circle to any point on the circle.