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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 secant and a tangent are drawn from an external point. The tangent is 6; the secant's external segment is 4. Find the whole secant length.

    Answer: 9

    6² = 4 × whole, so whole = 36/4 = 9.

  2. Two arcs in the same circle have equal length. Their central angles must be:

    Answer: Equal

    Equal arcs in the same circle correspond to equal central angles.

  3. A circle has area 49π. What is its circumference?

    Answer: 14π

    Area 49π gives r = 7, so circumference = 2π(7) = 14π.

  4. The angle formed by two chords intersecting inside a circle equals:

    Answer: Half the sum of the intercepted arcs

    An interior angle equals half the sum of the two intercepted arcs.

  5. Concentric circles share the same:

    Answer: Center

    Concentric circles have a common center but different radii.

  6. A 30° central angle in a circle of radius 12 subtends an arc of length:

    Answer: 2π

    Arc = (30/360)(2π·12) = (1/12)(24π) = 2π.

  7. An inscribed quadrilateral (cyclic) has opposite angles that are always:

    Answer: Supplementary

    Opposite angles of a cyclic quadrilateral sum to 180°.