Testinar Grade 7 math

Parts of a Circle

Students will build Grade 7 mastery of parts of a circle using models, equations, and test-style reasoning.

CH07-01 Measurement Geometry
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A circle has a diameter of \(14\) cm. What is its radius?

    1. \(7\) cm
    2. \(14\) cm
    3. \(21\) cm
    4. \(28\) cm

  2. The diagram below shows a circle with center \(O\). Which line segment is the radius of the circle?

    Parts of a Circle visual for G7-C07-T01-Q002
    1. \(OP\)
    2. \(OQ\)
    3. \(PQ\)
    4. \(QP\)

  3. A circle has a radius of \(5\) inches. What is its diameter?

    1. \(2.5\) inches
    2. \(5\) inches
    3. \(10\) inches
    4. \(15\) inches

  4. In the circle below, which line segment is a chord?

    Parts of a Circle visual for G7-C07-T01-Q004
    1. \(\ell_1\) (segment \(AB\))
    2. \(\ell_2\) (segment \(OC\))
    3. Segment \(OA\)
    4. None of the above

  5. Which point is the center of the circle?

    Parts of a Circle visual for G7-C07-T01-Q005
    1. \(N\)
    2. \(M\)
    3. \(P\)
    4. \(Q\)

  6. A circle has a diameter of \(\frac{30}{7}\) meters. What is its radius?

    1. \(\frac{15}{7}\) meters
    2. \(\frac{30}{7}\) meters
    3. \(\frac{60}{7}\) meters
    4. \(7\) meters

  7. In the circle below, which of the following is an arc?

    Parts of a Circle visual for G7-C07-T01-Q007
    1. The segment \(OA\)
    2. The curve from \(A\) to \(C\)
    3. The chord \(AC\)
    4. The point \(O\)

  8. In the circle below, which region is a sector?

    Parts of a Circle visual for G7-C07-T01-Q009
    1. The arc \(AB\)
    2. The region bounded by \(OA\), arc \(AB\), and \(OB\)
    3. The chord \(AB\)
    4. The center \(O\)
Teacher and parent reference

Answer key and explanations

  1. A. \(7\) cm

    The radius is half the diameter: \(14\div2=7\) cm.

  2. A. \(OP\)

    The radius is any segment from the center to the circle. \(OP\) is labeled and is a radius.

  3. C. \(10\) inches

    Diameter is twice the radius: \(2 \times 5 = 10\) inches.

  4. A. \(\ell_1\) (segment \(AB\))

    A chord connects two points on the circle. \(AB\) is a chord. \(OC\) is a radius, not a chord.

  5. B. \(M\)

    The center is the point inside the circle equidistant from all points on the circle. \(M\) is at the center.

  6. A. \(\frac{15}{7}\) meters

    \(r = \frac{d}{2} = \frac{30}{7} \div 2 = \frac{30}{14} = \frac{15}{7}\) meters.

  7. B. The curve from \(A\) to \(C\)

    An arc is a part of the circle's circumference. The curve from \(A\) to \(C\) is an arc.

  8. B. The region bounded by \(OA\), arc \(AB\), and \(OB\)

    A sector is a pie-shaped region formed by two radii and the arc between them.

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