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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 chord is 8 units long and is 3 units from the center. What is the radius (to nearest whole)?

    Answer: 5

    Half-chord 4, distance 3: r = √(4² + 3²) = √25 = 5.

  2. Two chords intersect inside a circle. One is divided into segments 3 and 8; the other into 4 and x. Find x.

    Answer: 6

    By the intersecting chords rule, 3×8 = 4×x, so x = 24/4 = 6.

  3. The circumference of a circle is 31.4. Using π ≈ 3.14, what is the diameter?

    Answer: 10

    C = πd, so d = 31.4 / 3.14 = 10.

  4. A tangent line meets a radius at the point of tangency at an angle of:

    Answer: 90°

    A radius is always perpendicular to a tangent at the point of contact.

  5. The arc opposite a 40° inscribed angle measures:

    Answer: 80°

    The intercepted arc is twice the inscribed angle: 2 × 40° = 80°.

  6. In a circle of radius 10, a sector has area 25π. What is its central angle?

    Answer: 90°

    25π = (θ/360)π(100), so θ/360 = 1/4, giving θ = 90°.

  7. The longest chord in any circle is called the:

    Answer: Diameter

    The diameter passes through the center and is the longest chord.