Class 10th Maths Chapter 13 Notes

Important full class 10th maths chapter 13 notes of Practical Geometry Circles 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 13 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 13 notes for all students of Punjab  Textbook Board.
• Important MCQs of Chapter No.13: Practical Geometry Circles of Mathematics 10th class.
• Important definitions of Chapter No.13: Practical Geometry Circles of Mathematics 10th class.
• Solutions of Chapter No.13: Practical Geometry Circles of Mathematics 10th class.
• Important problems of Chapter No.13: Practical Geometry Circles of Mathematics 10th class.
• Important class 10 maths chapter 13 notes for all students of Punjab  Textbook Board.
• The word geometry is derived from two Greek words namely Geo (earth) and Metron (measurement). Infact, geometry means measurement of the earth or land. Geometry is an important branch of mathematics, which deals with the shape, size and position of geometric figures. We will concentrate upon simple figures namely point, straight line, triangle, polygon and circle in this unit.
• The Greek mathematicians (600-300 BC) contributed a lot. In particular "Euclid's Elements" have been taught as text book all over the world for centuries.
• Important formula of chapter 13 class 10 for all students of Punjab  Textbook Board.
• Multiple Choice Questions. Three possible answers are given for the following questions. Tick (✔) the correct answer.
• (i) The circumference of a circle is called:  (a) chord  (b) segment  (c) boundary
• (ii) A line intersecting a circle is called:  (a) tangent  (b) secant  (c) chord
• (iii) The portion of a circle between two radii and an arc is called:  (a) sector  (b) segmentbb(c) chord
• (iv) Angle inscribed in a semi-circle is:  (a) π / 2  (b) π / 3  (c) π / 4
• (v) The length of the diameter of a circle is how many times the radius of the circle:  (a) 1  (b) 2  (c) 3
• (vi) The tangent and radius of a circle at the point of contact are:  (a) parallel  (b) not perpendicular  (c) perpendicular
• 2. Write short answers of the following questions
• (i) Define and draw the following geometric figures:
• (a) The segment of a circle.(b) The tangent to a circle. (c) The sector of a circle (d) The inscribed circle (e) The circumscribed circle (f) The escribed circle.
• (ii) The length of each side of a regular octagon is 3 cm. Measure its perimeter.
• (iii) Write down the formula for finding the angle subtended by the side of a n-sided polygon at the centre of the circle.
• (iv) The length of the side of a regular pentagon is 5 cm what is its perimeter?
• 1. In an arc ABC the length of the chord IBC1 = 2 cm. Draw a secant IPBCI = 8 cm, where P is the point outside the arc. Draw a tangent through point P to the arc.
• 2. Construct a circle with diameter 8 cm. Indicate a point C, 5 cm away from its circumference. Draw a tangent from point C to the circle without using its centre.
• 3. Construct a circle of radius 2 cm. Draw two tangents making an angle of 60° with each other.
• 4. Draw two perpendicular tangents to a circle of radius 3 cm.
• 5. Two equal circles are at 8 cm apart. Draw two direct common tangents of this pair of circles.
• 6. Draw two equal circles of each radius 2.4 cm. If the distance between their centres is 6 cm, then draw their transverse tangents.
• 7. Draw two circles with radii 2.5 cm and 3 cm. If their centres are 6.5 cm apart, then draw two direct common tangents.
• 8. Draw two circles with radii 3.5 cm and 2 cm. If their centres are 6 cm apart, then draw two transverse common tangents.
• 9. Draw two common tangents to two touching circles of radii 2.5 cm and 3.5 cm.
• 10. Draw two common tangents to two intersecting circle of radii 3 cm and 4 cm.