Unit 13 Practical Geometry-Circles Simple Solutions
Welcome to the Solutions of Unit 13 Practical Geometry-Circles, a crucial chapter for understanding the geometric properties and theorems related to circles. This unit will guide you through the essential concepts like constructing tangents, solving problems involving chords, and understanding the properties of different types of circles. With step-by-step solutions, practical examples, and key concepts explained in detail, this post is designed to help you develop a strong foundation in circle geometry, which is vital for excelling in both classroom and board exams.
Table of Contents
PDF Solutions
Multiple Choice Questions Test for Unit 13
To test your understanding and solidify your knowledge of the concepts in Unit 13 Practical Geometry-Circles, we’ve provided an interactive MCQ test. Simply click the “Start Test” button to begin the quiz, which will help you assess how well you’ve grasped the concepts. This test covers various topics from the unit, allowing you to review key ideas and gain confidence in solving problems related to circles. Take the test as many times as needed to improve your understanding and performance.
Key Concepts of this Unit
Unit 13 Practical Geometry-Circles enables students how to:
- Locate the center of a given circle.
- Draw a circle passing through three given non-collinear points.
- Complete the circle when a part of its circumference is given:
- (i) by finding the center,
- (ii) without finding the center.
- Circumscribe a circle about a given triangle.
- Inscribe a circle in a given triangle.
- Escribe a circle in a given triangle.
- Circumscribe an equilateral triangle about a given circle.
- Inscribe an equilateral triangle in a given circle.
- Circumscribe a square about a given circle.
- Inscribe a square in a given circle.
- Circumscribe a regular hexagon about a given circle.
- Inscribe a regular hexagon in a given circle.
- Draw a tangent to a given arc, without using the center, through a given point ( P )when ( P ) is:
- (i) the middle point of the arc,
- (ii) at the end of the arc,
- (iii) outside the arc.
- Draw a tangent to a given circle from a point ( P ) when ( P ) is:
- (i) on the circumference,
- (ii) outside the circle.
- Draw two tangents to a circle meeting each other at a given angle.
- Draw direct common tangents (external tangents) to two equal circles.
- Draw transverse common tangents (internal tangents) to two equal circles.
- Draw direct common tangents (external tangents) to two unequal circles.
- Draw transverse common tangents (internal tangents) to two unequal circles.
- Draw a tangent to two unequal touching circles.
- Draw a tangent to two unequal intersecting circles.
- Draw a circle which touches:
- (i) both the arms of a given angle,
- (ii) two converging lines and passes through a given point between them,
- (iii) three converging lines.
In this post, you’ll find everything you need to master Unit 13 Practical Geometry-Circles. The embedded PDF solutions for each exercise give you detailed, step-by-step explanations that you can refer to whenever you need help. If you want to download these notes simply click on the arrow in the upper right corner of this PDF and it will take you download page. The key points highlight the most important concepts from this unit, and the MCQ test offers a great opportunity to test your knowledge. Whether you’re preparing for exams or simply want to strengthen your understanding of circle geometry, these resources will help you succeed at your own pace.
As Unit 13 Practical Geometry-Circles is the final unit of the book, it’s a great opportunity to review everything you’ve learned so far. To help reinforce your understanding, feel free to explore the previous units as well. You can revisit key topics like triangles, quadrilaterals, and trigonometry, all of which build the foundation for this unit. Check out the solutions, key points, and MCQ tests for earlier units to ensure a thorough grasp of the concepts, making it easier to apply everything you’ve learned in Unit 13. Important Formulas of Unit 13. If you prefer watching video lectures to clear your concepts here is the YouTube link for video lectures on this unit.