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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. Two secants from an external point intercept arcs of 120° and 40°. The angle between the secants is:

    Answer: 40°

    External angle = half the difference: (120° − 40°)/2 = 40°.

  2. A circle is inscribed in a square of side 10. The circle's radius is:

    Answer: 5

    The inscribed circle's diameter equals the side (10), so radius = 5.

  3. The measure of a tangent-chord angle equals:

    Answer: Half the intercepted arc

    A tangent-chord angle equals half its intercepted arc.

  4. A circle of radius 5 has a sector with arc length 5π. Its central angle is:

    Answer: 180°

    Circumference is 10π; 5π is half, so the angle is 180°.

  5. Point P is 13 units from the center of a circle with radius 5. The tangent length from P is:

    Answer: 12

    Tangent = √(13² − 5²) = √144 = 12.

  6. Equal chords in the same circle are always equidistant from the:

    Answer: Center

    Congruent chords are the same distance from the circle's center.

  7. The area of a semicircle with radius 6 is:

    Answer: 18π

    Semicircle area = ½πr² = ½π(36) = 18π.