1. The measure of the central angle of a circle is
Answer: D. twice the inscribed angle on the same arc
Mathematics Class 10 Unit 10: Tangents and Angles of a Circle MCQs
32 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. The angle at the centre of a circle subtended by an arc is 80°. The inscribed angle on the same arc is
Answer: A. 40°
3. The angle in a semicircle is
Answer: C. a right angle
4. Angles in the same segment of a circle are
Answer: B. equal
5. The sum of the opposite angles of a cyclic quadrilateral is
Answer: A. 180°
6. In a cyclic quadrilateral ABCD, if angle A = 70°, then angle C equals
Answer: C. 110°
7. The length of an arc of a circle of radius r that subtends a central angle θ (in radians) is
Answer: B. rθ
8. A tangent to a circle meets the circle at
Answer: D. exactly one point
9. A tangent to a circle is perpendicular to the radius drawn at
Answer: C. the point of contact
10. The number of tangents that can be drawn to a circle from a point outside it is
Answer: D. 2
11. The number of tangents that can be drawn to a circle from a point on it is
Answer: A. 1
12. The tangent segments drawn to a circle from an external point are
Answer: B. equal in length
13. The radius of a circle is 5 cm and the point P is 13 cm from the centre. The length of the tangent from P is
Answer: C. 12 cm
14. The radius of a circle is 3 cm and the point P is 5 cm from the centre. The length of the tangent from P is
Answer: D. 4 cm
15. The length of a tangent from P is 8 cm and the radius is 6 cm. The distance of P from the centre is
Answer: A. 10 cm
16. PA and PB are tangents from P to a circle with centre O. If angle APB = 60°, then angle AOB equals
Answer: B. 120°
17. PA and PB are tangents from P to a circle. If angle APB = 80°, then angle PAB equals
Answer: B. 50°
18. The tangents drawn at the two ends of a diameter of a circle are
Answer: A. parallel
19. The distance between the centres of two circles of radii 5 cm and 3 cm touching externally is
Answer: D. 8 cm
20. The distance between the centres of two circles of radii 7 cm and 3 cm touching internally is
Answer: C. 4 cm
21. Two circles of radii 6 cm and 4 cm have their centres 10 cm apart. The circles
Answer: A. touch externally
22. A central angle of 140° stands on an arc. The inscribed angle in the major segment on the same arc is
Answer: C. 70°
23. A line drawn perpendicular to a radius of a circle at its outer end is a
Answer: B. tangent
24. The angle in a segment of a circle greater than a semicircle is
Answer: D. less than a right angle
25. The angle in a segment of a circle smaller than a semicircle is
Answer: C. greater than a right angle
26. A central angle of 90° stands on a minor arc. The angle subtended by the same arc in the major segment is
Answer: B. 45°
27. ABCD is a quadrilateral inscribed in a circle. If angle B = 85°, then angle D equals
Answer: D. 95°
28. AB is a diameter of a circle and C is a point on the circle. If angle BAC = 35°, then angle ABC equals
Answer: A. 55°
29. The angle in a semicircle subtends an angle of
Answer: D. 90°
30. Two circles touch externally. The distance between their centres equals
Answer: C. the sum of their radii
31. Two circles touch internally. The distance between their centres equals
Answer: A. the difference of their radii
32. The tangent to a circle and the radius through the point of contact are
Answer: B. perpendicular
About Mathematics Class 10 Unit 10 MCQs (Federal Board)
These 32 Mathematics MCQs cover Class 10 Unit 10: Tangents and Angles of a Circle of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Tangents and Angles of a Circle MCQs as a PDF using the button at the top of this page.