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Chapter-13 Geometry Circles — Online MCQ Test

MATHS · Samacheer Kalvi 8th · Tamil Nadu State Board
Practice Chapter-13 Geometry Circles with a free chapter-wise online MCQ test. This chapter covers: circle radius tangent Explains properties of circles chords tangents and constructions. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-13 Geometry Circles — Important Questions & Answers

What is the fixed point from which all points on a circle are equidistant called?
  • A. Chord
  • B. Centre
  • C. Radius
  • D. Diameter
Answer: B. Centre
The centre is the point from which every point on the circle is at the same distance. That common distance is the radius.
Which of the following is a line segment joining the centre of a circle to any point on the circle?
  • A. Chord
  • B. Secant
  • C. Radius
  • D. Tangent
Answer: C. Radius
A radius connects the centre of the circle to a point on the circle. It is one of the basic parts of a circle.
If the radius of a circle is 7 cm, what is its diameter?
  • A. 3.5 cm
  • B. 7 cm
  • C. 14 cm
  • D. 21 cm
Answer: C. 14 cm
Diameter is twice the radius. So, 2 × 7 = 14 cm.
A student says, 'Every chord is a diameter.' Which is the best response?
  • A. Correct, because all chords pass through the centre.
  • B. Incorrect, because only chords passing through the centre are diameters.
  • C. Correct, because diameter is another name for chord.
  • D. Incorrect, because no chord can touch the circle.
Answer: B. Incorrect, because only chords passing through the centre are diameters.
A diameter is a special chord that passes through the centre. Many chords do not pass through the centre.
In a circle, if a line is at a distance equal to the radius from the centre, what can be said about the line?
  • A. It must be a diameter
  • B. It must be a tangent
  • C. It must be a chord passing through the centre
  • D. It must be a secant
Answer: B. It must be a tangent
A line at a perpendicular distance equal to the radius from the centre touches the circle at exactly one point. Therefore, it is a tangent.