Chapter 8 · Chords and Arcs of a Circle

Chapter 8 MCQs – Chords and Arcs of a Circle

Interactive Multiple Choice Questions with instant answers, explanations, and score tracking | Class 10 Math (New Syllabus 2026-27)

← Chapter 8 Hub Review Exercise 8 Next Chapter →

Prepared by Muhammad Tayyab, Subject Specialist Mathematics, Govt Christian High School Daska

📌 Based on National Curriculum 2023 / PECTAA Syllabus (2026-27)

📝 How to Use: Select an option, click Check Answer to see if you're correct, then read the explanation. Your score updates automatically as you go. Click Reset on any question to try again.

Your Score

0 / 10

Attempted: 0

1. Distance of a point on the circumference to the centre of the circle is called:

✅ Correct Answer: (A) radius
The line segment joining any point of the circle to its centre is called the radial segment, and its measure is the radius.

2. Radii of same circles are:

✅ Correct Answer: (B) all equal
By definition, all points on a circle are equidistant from the centre, so all radii of the same circle are equal.

3. The boundary of the circle is called:

✅ Correct Answer: (C) circumference
The length of the boundary of a circle is called its circumference.

4. Any part of a circumference is called:

✅ Correct Answer: (D) arc
Any part of the circumference of a circle is called an arc.

5. A chord passing through the centre of the circle is called:

✅ Correct Answer: (B) diameter
A chord that passes through the centre of a circle is called a diameter. It is the longest possible chord.

6. In the given figure, what is \(AB\)?
Circle showing line segment AB

✅ Correct Answer: (C) chord
A line segment joining any two distinct points on the circumference of a circle is called a chord. Since AB does not pass through the centre, it is a chord, not a diameter.

7. In the given figure, the major arc is:
Circle showing minor and major arcs

✅ Correct Answer: (C) \(m\overline{BDC}\)
A major arc is an arc which is greater than the arc of a semi-circle. It usually takes 3 letters to name a major arc to distinguish it from the minor arc between the same endpoints.

8. _______ circle(s) can pass through the three non-collinear points.

✅ Correct Answer: (A) one
By theorem 8.1.1: "One and only one circle can pass through any three non-collinear points."

9. The perpendicular bisector of a chord always passes through the _______ of the circle.

✅ Correct Answer: (C) centre
The perpendicular from the centre of a circle to a chord bisects it. Conversely, the perpendicular bisector of a chord must pass through the centre of the circle.

10. The sum of the measures of central angles of a circle is:

✅ Correct Answer: (D) \(360^{\circ}\)
The sum of the measures of the central angles of a circle with no interior points in common is \(360^{\circ}\).

🎉 Quiz Complete!

Your final score: 0 / 10

🔗 Related Resources – Chapter 8

❓ Frequently Asked Questions

How many MCQs are in Chapter 8 of Class 10 Math?

This page contains 10 interactive MCQs based on the Review Exercise of Chapter 8, covering all fundamental concepts of chords, arcs, and circle geometry.

Are these MCQs based on the new syllabus?

Yes, all MCQs follow the PECTAA syllabus based on the Revised National Curriculum 2023 for the 2026-27 session.

Do I get instant feedback on my answers?

Yes, each MCQ provides instant feedback — a green highlight for correct answers and a red highlight for incorrect ones — along with a detailed explanation.

Can I retake the quiz?

Yes! You can either reset individual questions or click the "Retake Full Quiz" button at the end to start over completely.

↑ Back to Top