Similarity and Trigonometry Basics - Problems on Circles - Problem Set

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Q. In a circle with a radius of 10 cm, what is the circumference?
  • A. 31.4 cm
  • B. 62.8 cm
  • C. 20 cm
  • D. 40 cm
Q. In a right triangle, if one angle is 45°, what is the ratio of the lengths of the sides opposite and adjacent to this angle?
  • A. 1:1
  • B. 1:√2
  • C. √2:1
  • D. 2:1
Q. In triangle ABC, if angle A = 30° and angle B = 60°, what is angle C?
  • A. 90°
  • B. 60°
  • C. 30°
  • D. 120°
Q. What is the length of the arc of a circle with a radius of 5 cm and a central angle of 60°?
  • A. 5.24 cm
  • B. 3.14 cm
  • C. 5.00 cm
  • D. 10.47 cm
Q. What is the length of the arc of a circle with a radius of 5 cm and a central angle of 90°?
  • A. 3.93 cm
  • B. 7.85 cm
  • C. 12.57 cm
  • D. 15.71 cm
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