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Circles & Arcs Flashcards

7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Circles & Arcs flashcards as text

  1. A central angle measures 72°. What fraction of the full circle does its arc represent?

    Answer: 1/5

    72° ÷ 360° = 1/5 of the circle.

  2. An inscribed angle intercepts an arc of 100°. What is the measure of the inscribed angle?

    Answer: 50°

    An inscribed angle is half its intercepted arc, so 100° ÷ 2 = 50°.

  3. A circle has radius 6. What is the length of an arc subtended by a central angle of 60°?

    Answer: 2π

    Arc length = (60/360) × 2π(6) = (1/6)(12π) = 2π.

  4. Two tangents drawn from an external point to a circle are always:

    Answer: Equal in length

    Tangent segments from a common external point are congruent.

  5. A sector has a central angle of 90° in a circle of radius 4. What is its area?

    Answer: 4π

    Sector area = (90/360) × π(4²) = (1/4)(16π) = 4π.

  6. An angle inscribed in a semicircle always measures:

    Answer: 90°

    An angle inscribed in a semicircle intercepts a 180° arc, so it is 90°.

  7. The measure of an arc equals the measure of its central angle. If an arc is 145°, its central angle is:

    Answer: 145°

    A central angle has the same measure as the arc it intercepts.