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

Printable layout

Recall / Warm-Up

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

42°

84°

168°

276°

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

120°

180°

240°

360°

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

Central angle

Inscribed angle

Exterior angle

Supplementary angle

Fluency Practice

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

Circle $O$ has center $O$ . Central angle $AOB = 130\degree$ . What is the measure, in degrees, of minor arc $AB$ ?

In circle $O$ , central angle $MON = 210\degree$ . What is the measure, in degrees, of minor arc $MN$ ?

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

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

Inscribed angle $ACB$ measures 37°. What is the measure, in degrees, of intercepted arc $AB$ ?

Points $A$ , $B$ , $C$ , and $D$ lie on a circle in that order. Inscribed angle $ACB = 55\degree$ and inscribed angle $ADB$ both intercept arc $AB$ (the arc not containing $C$ or $D$ ). What is the measure of angle $ADB$ ?

27.5°

55°

110°

It cannot be determined without more information.

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