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  • Question 1
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    The angle of a sector of a circle with radius 12 cm is 60°. What is the area of the sector?

  • Question 2
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    The area of a quadrant of a circle is cm2. What is the area of the circle?

  • Question 3
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    In the given figure, if the area of the shaded portion is 40 cm2, then what is the area of AOB?

  • Question 4
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    An arc of length 44 cm subtends an angle of 60° at the centre of a circle. What is the radius of the circle?

  • Question 5
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    The circumference of a circle is 88 cm. What will be the length of an arc that subtends an angle of at the centre of the circle?

  • Question 6
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    The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. The area of the sector is _____.

  • Question 7
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    In the given figure, OABC is a square of side 3 cm, occupying a quadrant of a circle. The area of the shaded portion will be

  • Question 8
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    In the given figure, ABC is an equilateral triangle of side 6 cm and a semicircle is drawn on side BC.



    Find the area of the shaded portion.

  • Question 9
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    In the given figure, MNOP is a square of side 7 cm. A semicircle is drawn, taking side NO as the diameter.


    What is the area of the shaded portion?

  • Question 10
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    A horse is tied by a 21 m long rope to one corner of a rectangular field with dimensions, 100 m by 50 m. How much area of the field can the horse not graze?

  • Question 11
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    In the given figure, the radius of the larger circle is three times the radius of the smaller circle. What is the ratio of the area of shaded region to that of smaller circle?

  • Question 12
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    Directions For Questions

    Directions: Read the following information and answer the given question.

    Rohan, a friendly person, has a large open square grass field of side 18 m. He has a horse. In one corner of the field, he has also made a shed under which the horse stays. Rohan has tied the horse to a peg at one corner of the field. The length of the rope is 7 m.

    ...view full instructions

    What approximate area of the field can the horse not graze?

  • Question 13
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    Directions For Questions

    Directions: Read the following information and answer the given question.

    Rohan, a friendly person, has a large open square grass field of side 18 m. He has a horse. In one corner of the field, he has also made a shed under which the horse stays. Rohan has tied the horse to a peg at one corner of the field. The length of the rope is 7 m.

    ...view full instructions

    What would be the approximate increase in grazing area if the rope were 14 m long, instead of 7 m?

  • Question 14
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    Directions For Questions

    Directions: Read the following information and answer the given question.

    Somu, a highly paid executive, has his office located at A and his house located at B (as shown in the figure). Somu can drive his Mercedes to his office, but he rides his Porsche bicycle instead. AOB is a sector of a circle with centre O and central angle 60°, with radius 3.5 km. Path AOB is the route for driving the car and Path ACB is a cycle-only track.

    ...view full instructions

    What is the difference between the distance covered by cycle and car, from home to office?

  • Question 15
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    Directions For Questions

    Directions: Read the following information carefully and answer the question given below.

    Arvind is a very rich person. He has a square house of side 56 m. As he loves gardening, so he has made semicircular gardens on all the four sides of his house, each having a diameter equal to the length of the house. In the gardens, he has planted different types of flowers and maintains them with love and care.

    ...view full instructions

    What is the total area of all the gardens?

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