Class 10 Math: Circles Solved Examples & Step Solutions
NexPro Tools Mathematics TeamJune 5, 20266 min read
The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 10 Circles.
Step-by-Step Solved Problems
Example 1: Tangent Length Theorem
Question: A point P is 13 cm away from the center of a circle. If the radius is 5 cm, find the length of the tangent PT drawn to the circle.
Worked Solution Steps:
- Radius OP is perpendicular to tangent PT. OPT forms a right-angled triangle.
- Hypotenuse is distance to center: OP = 13. Leg radius: OT = 5.
- Apply Pythagoras: PT² + OT² = OP² => PT² + 5² = 13².
- PT² + 25 = 169 => PT² = 144 => PT = 12 cm.
Final Answer: 12 cm
Self-Practice Method
When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.
📚 Class 10 Math Resource Hub for Circles:
• 🧮 Interactive Solver: Solve Circles Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take Circles Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download Circles PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View Circles Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Areas Related to Circles Study Notes
• 🎓 Syllabus Overview: Class 10 Mathematics Portal - Access all chapter guides.