Basic Geometric Concepts - Problems on Circles - Problem Set

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Q. In a right triangle, if one leg is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?
  • A. 5 cm
  • B. 7 cm
  • C. 6 cm
  • D. 8 cm
Q. What is the area of a circle with a diameter of 12 cm?
  • A. 36π cm²
  • B. 144 cm²
  • C. 12π cm²
  • D. 24π cm²
Q. What is the area of a circle with a radius of 5 cm?
  • A. 25π cm²
  • B. 10π cm²
  • C. 20 cm²
  • D. 15 cm²
Q. What is the area of a sector with a central angle of 60 degrees in a circle of radius 6 cm?
  • A. 6π cm²
  • B. 12π cm²
  • C. 3π cm²
  • D. 9π cm²
Q. What is the area of an equilateral triangle with a side length of 4 cm?
  • A. 4√3 cm²
  • B. 8 cm²
  • C. 4 cm²
  • D. 16 cm²
Q. What is the distance between the points (2, 3) and (5, 7) in the coordinate plane?
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. What is the length of an arc of a circle with a radius of 6 cm that subtends an angle of 60 degrees?
  • A. 2π cm
  • B. 6π/3 cm
  • C. π cm
  • D. 3π cm
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