Mathematics Class 10 Chapter 11: Practical Geometry of Circles
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Chapter summary
Chapter 11 of Mathematics for Class 10 is called "Practical Geometry of Circles". It covers 7 learning outcomes of the Federal Board syllabus. You will learn to: locate the centre of a given circle; draw a circle passing through three given noncollinear points. Parhayi.com has 147 MCQs, 15 short questions and 10 long questions for this chapter.
Topics in this chapter
- Locate the centre of a given circle
- Draw a circle passing through three given noncollinear points
- Complete the circle: by finding the centre, and without finding the centre, when a part of its circumference is given
- Draw a tangent to a given arc, without using the centre, through a given point P when P is the middle point of the arc, at the end of the arc, outside
- Draw a tangent to a given circle from a point P when P lies on the circumference, or outside the circle
- Draw two tangents to a circle meeting each other at a given angle
- Apply concepts of practical geometry of a circle to real life world problems (such as athletic tracks, recreational parks, Ferris wheels, mechanical m
Sample questions
Try these questions from the chapter. The answers are for Premium students.
- Draw two tangents to a circle of radius 3 cm from a point lying at a distance of 6 cm from the centre of the circle. (4 marks)
- Circumscribe a circle about an equilateral triangle ABC with each side of length 4 cm. Write the steps of construction. (4 marks)
- A circle is drawn through the vertices of a triangle with sides 6 cm, 8 cm and 10 cm. Find its radius and say where the centre lies. (3 marks)
What Premium gives you in this chapter
- 147 MCQs with answers and explanations
- 15 short questions with full answers
- 10 long questions with answers
- 10 Learn cards
- 9 Activities and games
- chapter tests that show your weak topics
Mathematics grows step by step. Read the rule, study one worked example, then solve similar questions yourself and check every step.
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