Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a circle angles and arcs quiz? Then this Geometry quiz on Circles: Angles, Arcs, Chords and Tangents asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on central and inscribed angles, semicircles, tangents, chords and inscribed quadrilaterals. Each explanation points out the slip behind the tempting wrong answers.
Standards: G-C.A.1, G-C.A.2 · Level: Grade 10 Geometry
What this Circles: Angles, Arcs, Chords and Tangents quiz checks
- Central angle = intercepted arc; inscribed angle = ½ intercepted arc.
- Inscribed angles on the same arc are congruent.
- Opposite angles of an inscribed quadrilateral are supplementary.
- A tangent line is perpendicular to the radius at the point of tangency.
The 10 questions of the quiz
- An inscribed angle intercepts an arc of 140°. What is its measure?
- A central angle measures 96°. What does an inscribed angle on the same arc measure?
- What is the measure of an angle inscribed in a semicircle?
- A tangent touches a circle at T with center O. What is m∠OTP, where P is on the tangent?
- What is m∠D?
- Tangents from P meet the circle at A and B, and ∠AOB = 100°. What is ∠P?
- Chord AB is congruent to chord CD in the same circle. Arc AB = 72°. What is arc CD?
- Which transformation sequence maps one circle onto any other circle?
- What is m∠ADB?
- A radius of 7 is perpendicular to a chord of length 10. How far is the chord from the center?
After the quiz
Missed a question? Reread the Circles: Angles, Arcs, Chords and Tangents lesson, then take the quiz again. Next, solve the Geometry worksheet on Circles: Angles, Arcs, Chords and Tangents, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.