Mathematics Form 2 Circle -2

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  • 1/10 Questions

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

    • 4.44cm, 51,5 cm²
    • 3.89cm, 47.54cm²
    • 3.89cm, 60 cm²
    • 4.44cm, 57.65 cm²
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Mathematics Form 2 Circle -2 - Quiz
About This Quiz

This Mathematics Form 2 quiz on circles challenges students with problems involving angles, arc lengths, circumference, and areas related to circles. Key skills assessed include understanding and application of circle geometry formulas, enhancing computational and problem-solving abilities relevant to geometry.

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  • 2. 

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

    • 31.72cm, 178.5cm

    • 31.72cm, 199.3cm

    • 40.65cm,199.3cm

    • 50.90cm, 144.4cm

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

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  • 3. 

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

    • True

    • False

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

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  • 4. 
    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 - ProProfs

    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

    • 8.56 cm

    • 10.11cm

    • 14.3 cm

    • 7.855 cm

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

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  • 5. 
    Figure shows distance from P to Q is 12cm. the radius is 40cm. Find ° x. Use π = 3.142 - ProProfs

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

    • 20°

    • 17.19°

    • 32.42°

    • 23°

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

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  • 6. 

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

    • 11cm, 22cm

    • 9.36cm, 19.25cm

    • 8.02cm, 16.4cm

    • 13.4cm, 26.8cm

    Correct Answer
    A. 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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  • 7. 

    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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  • 8. 

    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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  • 9. 
    The area of colored sector is 1732.5 cm ². Find circumference of the circle. Use π = 22/7 - ProProfs

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

    • 31.5 cm

    • 96 cm

    • 124.64 cm

    • 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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  • 10. 

    From the answer below, which is TRUE about sector.

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

    • A portion of the circumference of a circle.

    • The distance across a circle through its center.

    • A straight line segment whose endpoints both lie on the circle

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