Mathematics Form 2 Circle -2

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Questions and Answers
  • 1. 

    Figure shows distance from P to Q is 12cm. the radius is 40cm. Find ° x. Use π = 3.142

    • A.

      20°

    • B.

      17.19°

    • C.

      32.42°

    • D.

      23°

    Correct Answer
    B. 17.19°
    Explanation
    angle / 360 * 2 (3.142)(40) = 12
    angle = 17.19 °

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  • 2. 

    Figure shows a pizza with diameter 20cm. The pizza is cut into 8 equal pieces. Find the length of arc for each pieces. Use π = 3.142

    • A.

      8.56 cm

    • B.

      10.11cm

    • C.

      14.3 cm

    • D.

      7.855 cm

    Correct Answer
    D. 7.855 cm
    Explanation
    45 /360 * 2 (3.142) (20/2) = 7.855cm

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  • 3. 

    The area of colored sector is 1732.5 cm ². Find circumference of the circle. Use π = 22/7

    • A.

      31.5 cm

    • B.

      96 cm

    • C.

      124.64 cm

    • D.

      89.5 cm

    Correct Answer
    A. 31.5 cm
    Explanation
    angle of centre = 360 - 160 = 200
    angle of centre / 360 = area of sector /area of circle

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  • 4. 

    Use π =3.142. Find circumference of circle with diameter 10cm. The answer isUse � =22—7Use � =22—7

    Correct Answer
    31.42cm, 31.4cm,31.42,31.4
    Explanation
    2pi r, 2pi d

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  • 5. 

    We use the formulae πr2  to calculate circumference of a circle. 

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    πr² for area of circle.

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  • 6. 

    Calculate the radius and the circumference of a circle with area 3160 cm². Use π = 3.142

    • A.

      31.72cm, 178.5cm

    • B.

      31.72cm, 199.3cm

    • C.

      40.65cm,199.3cm

    • D.

      50.90cm, 144.4cm

    Correct Answer
    B. 31.72cm, 199.3cm
    Explanation
    r=Squareroot(A /π)
    π=3160 π≈31.71528
    C=2πr=2*π*31.72 ≈ 199.30264

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  • 7. 

    Calculate the radius and the area of a circle with circumference 24.43 cm. Use π = 3.142

    • A.

      4.44cm, 51,5 cm²

    • B.

      3.89cm, 47.54cm²

    • C.

      3.89cm, 60 cm²

    • D.

      4.44cm, 57.65 cm²

    Correct Answer
    B. 3.89cm, 47.54cm²
    Explanation
    r=C/2π
    =24.43/2*π ≈ 3.89

    A=πr2=π*3.89 ≈ 47.53889

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  • 8. 

    From the answer below, which is TRUE about sector.

    • A.

      The part of a circle enclosed by two radii of a circle and their intercepted arc.

    • B.

      A portion of the circumference of a circle.

    • C.

      The distance across a circle through its center.

    • D.

      A straight line segment whose endpoints both lie on the circle

    Correct Answer
    D. A straight line segment whose endpoints both lie on the circle
    Explanation
    This answer is not true about a sector. A sector is actually the part of a circle enclosed by two radii of a circle and their intercepted arc.

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  • 9. 

    Calculate the radius and the diameter of a circle with area 202.25 cm ². Use π = 3.142 Match the correct answers.

    • A.

      11cm, 22cm

    • B.

      9.36cm, 19.25cm

    • C.

      8.02cm, 16.4cm

    • D.

      13.4cm, 26.8cm

    Correct Answer
    C. 8.02cm, 16.4cm
    Explanation
    The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the area is given as 202.25 cm^2. By rearranging the formula, we can solve for the radius.

    202.25 = 3.142 * r^2

    Dividing both sides by 3.142, we get:

    r^2 = 64.5

    Taking the square root of both sides, we find:

    r = 8.02 cm

    The diameter of a circle is twice the radius, so:

    d = 2 * r = 2 * 8.02 = 16.04 cm

    Therefore, the correct answer is 8.02 cm for the radius and 16.04 cm for the diameter.

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  • 10. 

    X is straight line segment that passes through the center of the circle and whose endpoints lie on the circle. X is 

    Correct Answer
    diameter
    Explanation
    A diameter is a straight line segment that passes through the center of a circle and whose endpoints lie on the circle. In this case, X is described as a straight line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, X is a diameter of the circle.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 13, 2016
    Quiz Created by
    Projectmmp
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