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Geometry - Inscribed Angles and Arc Measures in Circles Quiz

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In a circle, what is the measure of the central angle that intercepts a minor arc of 60 degrees?

60 degrees

Explanation

Same as the measure of the intercepted arc.

If an inscribed angle in a circle has a measure of 90 degrees, what is the measure of its intercepted arc?

180 degrees

Explanation

Twice the measure of the inscribed angle.

If the measure of an arc in a circle is 120 degrees, what is the measure of its corresponding central angle?

120 degrees

Explanation

Same as the measure of the intercepted arc.

What is the measure of an inscribed angle that intercepts a semicircle in a circle?

90 degrees

Explanation

Half the measure of a full rotation.

In a circle, what is the relationship between the measure of a central angle and the measure of its intercepted arc?

They are equal

Explanation

They share the same measure.

If an inscribed angle in a circle has a measure of 45 degrees, what is the measure of its intercepted arc?

90 degrees

Explanation

Twice the measure of the inscribed angle.

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

The angle is half the measure of the arc

Explanation

The angle measures half the arc's measure.

In a circle, if two chords are congruent, what can you conclude about the measures of their intercepted arcs?

They are equal

Explanation

Equal because of the chord-chord theorem.

What is the measure of a central angle that subtends an arc of 270 degrees in a circle?

270 degrees

Explanation

Same as the measure of the intercepted arc.

#10

In a circle, if the measure of an arc is 90 degrees, what is the measure of the corresponding inscribed angle?

45 degrees

Explanation

Half the measure of the intercepted arc.

#11

In a circle with radius 10 cm, what is the length of an arc subtended by a central angle of 45 degrees?

5π cm

Explanation

One-eighth of the circle's circumference.

#12

If the radius of a circle is 8 cm and the length of an arc is 16π cm, what is the measure of the central angle subtended by the arc?

360 degrees

Explanation

Twice the ratio of the arc length to the circle's circumference.

#13

In a circle, if the measure of a central angle is 60 degrees, what is the measure of the arc it subtends?

60 degrees

Explanation

Same as the measure of the intercepted arc.

#14

In a circle, if the measure of a central angle is 90 degrees, what is the measure of the arc it subtends?

90 degrees

Explanation

Same as the measure of the intercepted arc.

#15

In a circle, if the measure of a central angle is 180 degrees, what is the measure of the arc it subtends?

180 degrees

Explanation

Same as the measure of the intercepted arc.

Geometry - Inscribed Angles and Arc Measures in Circles Quiz

In a circle, what is the measure of the central angle that intercepts a minor arc of 60 degrees?

If an inscribed angle in a circle has a measure of 90 degrees, what is the measure of its intercepted arc?

If the measure of an arc in a circle is 120 degrees, what is the measure of its corresponding central angle?

What is the measure of an inscribed angle that intercepts a semicircle in a circle?

In a circle, what is the relationship between the measure of a central angle and the measure of its intercepted arc?

If an inscribed angle in a circle has a measure of 45 degrees, what is the measure of its intercepted arc?

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

In a circle, if two chords are congruent, what can you conclude about the measures of their intercepted arcs?

What is the measure of a central angle that subtends an arc of 270 degrees in a circle?

In a circle, if the measure of an arc is 90 degrees, what is the measure of the corresponding inscribed angle?

In a circle with radius 10 cm, what is the length of an arc subtended by a central angle of 45 degrees?

If the radius of a circle is 8 cm and the length of an arc is 16π cm, what is the measure of the central angle subtended by the arc?

In a circle, if the measure of a central angle is 60 degrees, what is the measure of the arc it subtends?

In a circle, if the measure of a central angle is 90 degrees, what is the measure of the arc it subtends?

In a circle, if the measure of a central angle is 180 degrees, what is the measure of the arc it subtends?

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