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Circumference and Area of Circles: Grade 7 Math Quiz – PDF Download

    Circumference and Area of Circles – Grade 7 math quiz

    Ten multiple-choice questions check circumference and area of circles. Several include a diagram. Each question states whether to use \(3.14\) for \(\pi\) or to leave the answer in terms of \(\pi\). Choose the one correct answer, then read the explanation to see which common mistake each wrong choice shows.

    Grade 7Common Core: 7.G.B.4
    🎯 Circumference and Area of Circles – Grade 7 math quiz
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    Question 1
    16 in
    Quiz figure.

    What is the radius of the circle?

    A \(32\text{ in}\)
    B \(16\text{ in}\)
    C \(8\text{ in}\)
    D \(4\text{ in}\)
    Question 2
    12 cm
    Quiz figure.

    What is the circumference? Use \(3.14\) for \(\pi\).

    A \(37.68\text{ cm}\)
    B \(75.36\text{ cm}\)
    C \(113.04\text{ cm}\)
    D \(18.84\text{ cm}\)
    Question 3
    5 m
    Quiz figure.

    What is the area of the circle? Use \(3.14\) for \(\pi\).

    A \(31.4\text{ m}^{2}\)
    B \(15.7\text{ m}^{2}\)
    C \(78.5\text{ m}^{2}\)
    D \(314\text{ m}^{2}\)
    Question 4

    A circle has a diameter of \(8\text{ cm}\). What is its area? Use \(3.14\) for \(\pi\).

    A \(200.96\text{ cm}^{2}\)
    B \(50.24\text{ cm}^{2}\)
    C \(25.12\text{ cm}^{2}\)
    D \(100.48\text{ cm}^{2}\)
    Question 5

    The circumference of a circle is \(31.4\text{ cm}\). What is its diameter? Use \(3.14\) for \(\pi\).

    A \(10\text{ cm}\)
    B \(5\text{ cm}\)
    C \(15.7\text{ cm}\)
    D \(98.6\text{ cm}\)
    Question 6

    A circle has radius \(7\text{ cm}\). What is its area in terms of \(\pi\)?

    A \(14\pi\text{ cm}^{2}\)
    B \(196\pi\text{ cm}^{2}\)
    C \(7\pi\text{ cm}^{2}\)
    D \(49\pi\text{ cm}^{2}\)
    Question 7
    diameter 12 cm
    Quiz figure.

    What is the area of the semicircle? Use \(3.14\) for \(\pi\).

    A \(113.04\text{ cm}^{2}\)
    B \(56.52\text{ cm}^{2}\)
    C \(18.84\text{ cm}^{2}\)
    D \(28.26\text{ cm}^{2}\)
    Question 8
    8 ft8 ft
    Quiz figure.

    What is the area of the quarter circle? Use \(3.14\) for \(\pi\).

    A \(200.96\text{ ft}^{2}\)
    B \(100.48\text{ ft}^{2}\)
    C \(50.24\text{ ft}^{2}\)
    D \(12.56\text{ ft}^{2}\)
    Question 9

    The radius of a circle is doubled. What happens to its area?

    A It is multiplied by 4.
    B It is multiplied by 2.
    C It is multiplied by 3.
    D It is multiplied by 8.
    Question 10

    A wheel has a diameter of \(2\text{ ft}\). How far does it roll in \(50\) turns? Use \(3.14\) for \(\pi\).

    A \(157\text{ ft}\)
    B \(628\text{ ft}\)
    C \(56.28\text{ ft}\)
    D \(314\text{ ft}\)

    🎉 Quiz complete!

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    Remember:

    • Diameter is twice the radius: \(d=2r\).
    • Circumference: \(C=\pi d=2\pi r\), measured in linear units.
    • Area: \(A=\pi r^{2}\), measured in square units.
    • \(\pi\) is about \(3.14\); leave answers in terms of \(\pi\) when asked.
    • A semicircle is half a circle; its perimeter includes the diameter.

    See every chapter on the Grade 7 math page.

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