Back to Exercise: Central and inscribed angles

Central and Inscribed Angles - Practice Set

Grade 10·25 problems·~35 min·Digital SAT Math·topic·sat-geotrig-circ-inscribed
Work through problems with immediate feedback
A

Recall / Warm-Up

1

A central angle of 120° cuts off what fraction of a full circle?

2

An isosceles triangle has two equal sides that meet at an angle of 80°. What is the measure of each of the other two angles?

3

A right triangle has a hypotenuse of 10 and one leg of 6. What is the length of the other leg?

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=110°MON = 110\degree. What is the measure, in degrees, of major 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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