Inscribed and Central Angle

What is an inscribed angle?

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

• An inscribed angle is a type of fruit

• An inscribed angle is a type of musical instrument

• An inscribed angle is a measurement of weight

In a circle, what is the relationship between an inscribed angle and the central angle subtended by the same arc?

• Inscribed angle is perpendicular to the central angle

• Inscribed angle is half the central angle.

• Inscribed angle is equal to the central angle

• Inscribed angle is double the central angle

If an inscribed angle in a circle is 60 degrees, what is the measure of the central angle subtended by the same arc?

• 120 degrees

• 150 degrees

• 30 degrees

• 90 degrees

What is the sum of the measures of an inscribed angle and its intercepted arc in a circle?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

In a circle, what is the measure of a central angle that intercepts a semicircle?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

If a central angle in a circle is 120 degrees, what is the measure of the inscribed angle subtended by the same arc?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

What is the relationship between the measure of an inscribed angle and the measure of the arc it intercepts in a circle?

• The measure of an inscribed angle is greater than the measure of the arc it intercepts.

• The measure of an inscribed angle is equal to the measure of the arc it intercepts.

• The measure of an inscribed angle is unrelated to the measure of the arc it intercepts.

• The measure of an inscribed angle is half the measure of the arc it intercepts.

If the measure of an inscribed angle in a circle is 45 degrees, what is the measure of the arc it intercepts?

• 120 degrees

• 90 degrees

• 30 degrees

• 60 degrees

What is the measure of an inscribed angle in a circle if the arc it intercepts is a minor arc of 90 degrees?

• 45 degrees

• 30 degrees

• 60 degrees

• 75 degrees

Explain the concept of inscribed and central angles in a circle.

• Inscribed angles are formed by two chords in a circle, while central angles are formed by two radii of the circle.

• Inscribed angles are formed by the intersection of two tangents in a circle.

• Inscribed angles are formed by the intersection of a radius and a tangent in a circle.

• Central angles are formed by the intersection of two secants in a circle.