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Circle Angle Mastery Quiz

Test your knowledge of angles in circles, including inscribed angles and central angles.

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8 questions
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mario mar
Published February 27, 2026

Quiz Questions & Answers

Review every prompt, the correct responses, and helpful context to prep for your own run-through.

Question 1: What is the relationship between an inscribed angle and the central angle that subtends the same arc?

They are equal

There is no fixed relationship

The inscribed angle is half the central angle

The inscribed angle is twice the central angle

Question 2: An inscribed angle that intercepts a semicircle is always:

45 degrees

90 degrees

60 degrees

180 degrees

Question 3: What is the sum of all inscribed angles that intercept the same arc?

360 degrees

180 degrees

The sum is half of the arc value multiplied by the number of angles

90 degrees

Question 4: In a circle, if an inscribed angle measures 40°, what is the measure of the central angle that subtends the same arc?

120°

80°

20°

160°

Question 5: What is the sum of two angles inscribed in a semicircle opposing the diameter?

180 degrees

60 degrees

45 degrees

90 degrees

Question 6: What is special about inscribed angles that subtends the same arc of a circle?

They are all obtuse angles

They are all equal

They add up to 360°

They are all acute angles

Question 7: If an inscribed angle intercepts an arc of 120°, what is the measure of the inscribed angle?

240°

30°

120°

60°

Question 8: In a circle, what is the relationship between inscribed angles that intercept the same chord?

They are supplementary

They are equal

They are complementary

They form a right angle