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  • Question
  • An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is


  • Options
  • A. 2?3 cm
  • B. 3?2 cm
  • C. 4?3 cm
  • D. ?3 cm

  • Correct Answer
  • 2?3 cm 


  • Area problems


    Search Results


    • 1. If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

    • Options
    • A. 12 cm
    • B. 6 cm
    • C. 1 cm
    • D. 2 cm
    • Discuss
    • 2. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ?ADE and area of quadrilateral BDEC?

    • Options
    • A. 4 : 21
    • B. 4 : 25
    • C. 4 : 29
    • D. 4 : 9
    • Discuss
    • 3. ?ABC is similar to ?PQR. If ratio of perimeter of ?ABC : perimeter of ?PQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?

    • Options
    • A. 15
    • B. 20
    • C. 25
    • D. 16
    • Discuss
    • 4. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

    • Options
    • A. 12
    • B. 20
    • C. 24
    • D. 10
    • Discuss
    • 5. The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

    • Options
    • A. 20%
    • B. 25%
    • C. 30%
    • D. 40%
    • Discuss
    • 6. ABC is an isosceles right angled triangle having ?C = 90°. If D is any point on AB, then AD2+ BD2 is equal to

    • Options
    • A. CD2
    • B. 2CD2
    • C. 3CD2
    • D. 4CD2
    • Discuss
    • 7. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

    • Options
    • A. 18?3
    • B. 24?3
    • C. 36?3
    • D. 42?3
    • Discuss
    • 8. Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

    • Options
    • A. 18
    • B. 24
    • C. 16
    • D. 32
    • Discuss
    • 9. All sides are congruent in a _____.

    • Options
    • A. Rectangle
    • B. Parallelogram
    • C. Rhombus
    • D. Kite
    • Discuss
    • 10. The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.

    • Options
    • A. Rs. 9,600
    • B. Rs. 9,504
    • C. Rs. 9,802
    • D. Rs. 9,876
    • Discuss


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