Back to Exercise: Central and inscribed angles

Central and Inscribed Angles — Practice Set

Grade 10·22 problems·~30 min·Digital SAT Math·topic·sat-geotrig-circ-inscribed
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A

Recall / Warm-Up

1.

In a circle, the arc intercepted by a central angle measures 84°. What is the measure of the central angle?

2.

A circle has a total arc measure of 360°. A central angle of 120° intercepts minor arc PQPQ. What is the measure of major arc PQPQ?

3.

An angle has its vertex on a circle and its two sides are chords. What type of angle is this?

B

Fluency Practice

Circle with center O, two radii to points A and B forming central angle 130°, minor arc AB highlighted.
1.

Circle OO has center OO. Central angle AOB=130°AOB = 130\degree. What is the measure, in degrees, of minor arc ABAB?

2.

In circle OO, central angle MON=210°MON = 210\degree. What is the measure, in degrees, of minor arc MNMN?

3.

An inscribed angle intercepts an arc of 96°. What is the measure, in degrees, of the inscribed angle?

Circle with inscribed angle ACB = 37° at point C on the circle, intercepted arc AB highlighted below.
4.

Inscribed angle ACBACB measures 37°. What is the measure, in degrees, of intercepted arc ABAB?

5.

Points AA, BB, CC, and DD lie on a circle in that order. Inscribed angle ACB=55°ACB = 55\degree and inscribed angle ADBADB both intercept arc ABAB (the arc not containing CC or DD). What is the measure of angle ADBADB?

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