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CuriousTab

CuriousTab

Area problems


  • 1. What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?

  • Options
  • A. 90°
  • B. 60°
  • C. 30°
  • D. 120°
  • Discuss
  • 2. The crosssection of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take ? = 22/7)

  • Options
  • A. 1760 cubic metres
  • B. 1650 cubic metres
  • C. 1056 cubic metres
  • D. 880 cubic metres
  • Discuss
  • 3. In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR?

  • Options
  • A. 250
  • B. 180
  • C. 210
  • D. 125
  • Discuss
  • 4. In a triangle PQR, ?PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

  • Options
  • A. 9
  • B. 4
  • C. 8
  • D. 6
  • Discuss
  • 5. In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

  • Options
  • A. 28
  • B. 18
  • C. 21
  • D. 24
  • Discuss
  • 6. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

  • Options
  • A. 6.3
  • B. 5.8
  • C. 6
  • D. 7
  • Discuss
  • 7. A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

  • Options
  • A. 240
  • B. 120
  • C. 60
  • D. 90
  • Discuss
  • 8. In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

  • Options
  • A. 36
  • B. 32
  • C. 58
  • D. 54
  • Discuss
  • 9. In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

  • Options
  • A. 1296/49
  • B. 25
  • C. 1225/36
  • D. 1225/64
  • Discuss
  • 10. In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

  • Options
  • A. 32√3
  • B. 24[(√)-1]
  • C. 48[(√3)-1]
  • D. 16[3-(√3)]
  • Discuss

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