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
Printable layout
A

Recall / Warm-Up

1

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

A.

14\dfrac{1}{4}

B.

12\dfrac{1}{2}

C.

23\dfrac{2}{3}

D.

13\dfrac{1}{3}

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?

A.

50°

B.

40°

C.

80°

D.

100°

3

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

A.

44

B.

6464

C.

88

D.

136\sqrt{136}

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?

A.

27.5°

B.

55°

C.

110°

D.

It cannot be determined without more information.

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