Area Related To Circles

15 Questions | Total Attempts: 1295

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Area Related To Circles

Who found mathematics a fun subject? Well if you did, this quiz is all about areas of a circle, solving the mathematical problems related to circles with the use of formulas. How well versed are you with it? Lets find out below!


Questions and Answers
  • 1. 
    A sector is cut from a circle of radius 21 cm. The angle of sector is 150°. The area of sector is:
    • A. 

      577.5 cm2

    • B. 

      288.2 cm2

    • C. 

      155 cm2

    • D. 

      152 cm2

  • 2. 
    The area of the sector of a circle of radius r and central angle θ is:
    • A. 

      θπr/360°

    • B. 

      2θπr2/720°

    • C. 

      2θπr/360°

    • D. 

      θπr2/720°

  • 3. 
    An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2. The radius of circle is:
    • A. 

      1 cm

    • B. 

      5 cm

    • C. 

      8 cm

    • D. 

      10 cm

  • 4. 
    A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. The area of major segment is:
    • A. 

      25 cm2

    • B. 

      103.57 cm2

    • C. 

      235.7 cm2

    • D. 

      260.7 cm2

  • 5. 
    A horse is tied to a pole with 56 m long string. The area of the field where the horse can graze is:
    • A. 

      2560 m2

    • B. 

      2664 m2

    • C. 

      9856 m2

    • D. 

      25600 m2

  • 6. 
    The circumferences of two circles are in the ratio 2 : 3. The ratio of their areas is:
    • A. 

      4 : 9

    • B. 

      2 : 3

    • C. 

      7 : 9

    • D. 

      4 : 10

  • 7. 
    The minute hand of a clock is 21 cm long. The area described by it on the face of clock in 5 minutes is:
    • A. 

      211.5 cm2

    • B. 

      123.5 cm2

    • C. 

      115.5 cm2

    • D. 

      112.5 cm2

  • 8. 
    Area enclosed between two concentric circles is 770 cm2. If the radius of outer circle is 21 cm, then the radius of inner circle is:
    • A. 

      12 cm

    • B. 

      13 cm

    • C. 

      14 cm

    • D. 

      15 cm

  • 9. 
    The perimeter of a semi-circular protector is 72 cm. Its diameter is:
    • A. 

      36 cm

    • B. 

      28 cm

    • C. 

      24 cm

    • D. 

      14 cm

  • 10. 
    The length of an arc subtending an angle of 72° at the center is 44 cm. The area of the circle is:
    • A. 

      2850 cm2

    • B. 

      3850 cm2

    • C. 

      4850 cm2

    • D. 

      5850 cm2

  • 11. 
    The area of the circle circumscribing a square of area 64 cm2 is:
    • A. 

      25.5 cm2

    • B. 

      50.28 cm2

    • C. 

      75.48 cm2

    • D. 

      100.57 cm2

  • 12. 
    An athletic track, 14 m wide, consists of two straight sections 120 m long joining semicircular ends whose inner radius is 35 m. The area of the track is:
    • A. 

      3360 cm2

    • B. 

      3696 cm2

    • C. 

      7056 cm2

    • D. 

      7210 cm2

  • 13. 
    The areas of two circular fields are in the ratio of 16 : 49. If the radius of the bigger circle is 14 cm, then the radius of smaller circle is:
    • A. 

      5 cm

    • B. 

      8 cm

    • C. 

      10 cm

    • D. 

      12 cm

  • 14. 
    Find the area of a ΔABC with ∠ACB = 120o & CA = CB = 18 cm.
    • A. 

      81 cm2

    • B. 

      140.3 cm2

    • C. 

      190 cm2

    • D. 

      203.6 cm2

  • 15. 
    The area of the sector AOB of angle 120o and radius 18 cm is:
    • A. 

      339.43 cm2

    • B. 

      403.29 cm2

    • C. 

      419.52 cm2

    • D. 

      393.63 cm2

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