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  • Question
  • A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?


  • Options
  • A. 2.5?
  • B. 3?
  • C. 5?
  • D. 4?

  • Correct Answer
  • 5? 

    Explanation

    Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle and is therefore, 5.

     

    Circumference = ?.diameter = 5?


  • Area problems


    Search Results


    • 1. The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?

    • Options
    • A. l=65;b=16
    • B. l=16;b=64
    • C. l=64;b=16
    • D. l=16;b=48
    • Discuss
    • 2. The perimeter of a square is 40 meters. Find the length of one side of the square

    • Options
    • A. 10m
    • B. 20m
    • C. 30m
    • D. 40m
    • Discuss
    • 3. A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?

    • Options
    • A. 140
    • B. 150
    • C. 160
    • D. 170
    • Discuss
    • 4. The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:

    • Options
    • A. 75
    • B. 85
    • C. 95
    • D. 105
    • Discuss
    • 5. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

    • Options
    • A. 814
    • B. 820
    • C. 840
    • D. 844
    • Discuss
    • 6. A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

    • Options
    • A. 4
    • B. 6
    • C. 8
    • D. None of the above
    • Discuss
    • 7. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plots is 96 sq.m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction?

    • Options
    • A. 20
    • B. 30
    • C. 40
    • D. data is inadequate
    • Discuss
    • 8. The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?

    • Options
    • A. 15 m
    • B. 4 m
    • C. 6 m
    • D. 9 m
    • Discuss
    • 9. A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?

    • Options
    • A. 115
    • B. 117
    • C. 116
    • D. 114
    • Discuss
    • 10. Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?

    • Options
    • A. 720
    • B. 600
    • C. 660
    • D. 6000
    • Discuss


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