Class 10th Maths Chapter 12 Notes

Important full class 10th maths chapter 12 notes of Angle in a Segment of a Circle of Mathematics 10th class by Dear Respectable Sir M. Ramzan Suib. These handwritten and Composed notes are very helpful in the preparation of class 10th maths chapter 12 notes for students of the 10th class Mathematics and these are according to the paper patterns of all Punjab boards.

• Important class 10 maths chapter 12 notes for all students of Punjab  Textbook Board.
• Important MCQs of Chapter No.12: Angle in a Segment of a Circle of Mathematics 10th class.
• Important definitions of Chapter No.12: Angle in a Segment of a Circle of Mathematics 10th class.
• Solutions of Chapter No.12: Angle in a Segment of a Circle of Mathematics 10th class.
• Important problems of Chapter No.12: Angle in a Segment of a Circle of Mathematics 10th class.
• Multiple Choice Questions. Four possible answers are given for the following questions. Tick (✔) the correct answer.
• (i) A circle passes through the vertices of a right angled △ABC with mAC = 3cm and mBC = 4 cm, m ∠ C = 90°. Radius of the circle is:  (a) 1.5 cm  (b) 2.0 cm  (c) 2.5 cm  (d) 3.5 cm
• (ii) In the adjacent circular figure, central and inscribed angles stand on the same arc AB. Then:  (a) m ∠ 1 = m ∠ 2  (b) m ∠ 1 = 2m ∠ 2  (c) m ∠ 2 = 3m ∠ 1  (d) m ∠ 2 = 2m ∠ 1
• In the adjacent figure if m ∠ 3 = 75°, then find m ∠ 1 and m ∠ 2.  (a) 37 1°/2 , 37 1°/2  (b) 37 1°/2 , 75°  (c) 75°, 37 1°/2  (d) 75°, 75°
• (iv) Given that O is the centre of the circle. The angle marked x will be:  (a) 12 1°/2  (b) 25°  (c) 50°  (d) 75°
• (v) Given that O is the centre of the circle the angle marked y will be:  (a) 12 1°/2  (b) 25°  (c) 50°  (d) 75°
• (vi) In the figure, O is the centre of the circle and ABN is a straight line. The obtuse angle AOC = x is:  (a) 32°  (b) 64°  (c) 96°  (d) 128°
• (vii) In the figure, O is the centre of the circle, then the angle x is:  (a) 55°  (b) 110°  (c) 220°  (d) 125°
• (viii) In the figure, O is the centre of the circle then angle x is:  (a) 15°  (b) 30°  (c) 45°  (d) 60°
• (ix) In the figure, O is the centre of the circle then the angle x is:  (a) 15°  (b) 30°  (c) 45°  (d) 60°
• (x) In the figure, O is the centre of the circle then the angle x is:  (a) 50°  (b) 75°  (c) 100°  (d) 125°
• Important definitions of Chapter No.12: Angle in a Segment of a Circle:
• The angle subtended by an arc at the centre of a circle is called is central angle.
• A central angle is subtended by two radii with the vertex at the centre of the circle.
• The angle subtended by an arc of a circle at its circumference is called a circumangle.
• A circumangle is subtended between any two chords of a circle, having common point on its circumference.
• A quadrilateral is called cyclic when a circle can be drawn through its four vertices.
• Important problems of Chapter No.12: Angle in a Segment of a Circle:
• The measure of a central angle of a minor arc of a circle, is double that of the angle subtended by the corresponding major arc.
• Any two angles in the same segment of a circle are equal.
• The angle (i) in a semi-circle is a right angle,  (ii) in a segment greater than a semi-circle is less than a right angle,  (iii) in a segment less than a semi-circle is greater than a right angle.
• The opposite angles of any quadrilateral inscribed in a circle are supplementary.