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  • Question

  • In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?


  • Options
  • A. 98
  • B. 196
  • C. 122.5
  • D. 171.5

  • Correct Answer
  • 196 

    • Area problems

    Search Results

    • 1. PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ?QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?

    • Options
    • A. 90
    • B. 108
    • C. 144
    • D. 72
      • Discuss
    • 2. In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

    • Options
    • A. (64√3)/3
    • B. (177√3)/2
    • C. (135√3)/2
    • D. (98√3)/3
      • Discuss
    • 3. The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

    • Options
    • A. 60
    • B. 54
    • C. 48
    • D. 72
      • Discuss
    • 4. In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

    • Options
    • A. 10
    • B. 5
    • C. 18
    • D. 14
      • Discuss
    • 5. In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

    • Options
    • A. 4√10
    • B. 2√10
    • C. 6√10
    • D. 3√5
      • Discuss
    • 6. In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle?

    • Options
    • A. 21+14√2
    • B. 21-14√2
    • C. 20+14√2
    • D. 20-14√2
      • Discuss
    • 7. In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in sq.cm) of the circle?

    • Options
    • A. 385-221√2
    • B. 308-154√2
    • C. 154-77√2
    • D. 462-308√2
      • Discuss
    • 8. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

    • Options
    • A. (4?86)/3
    • B. (2?86)/3
    • C. (5?86)/3
    • D. (5?86)/2
      • Discuss
    • 9. In the given figure, 3 semicircles are drawn on three sides of triangle ABC. Ab = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in sq.cm) of the shaded part?

    • Options
    • A. 588
    • B. 324
    • C. 294
    • D. 286
      • Discuss
    • 10. In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

    • Options
    • A. 162√3
    • B. 216√3
    • C. 108√3
    • D. 54√3
      • Discuss

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