The document summarizes key concepts about circles and tangents to circles: - It defines circles and their related terms like radius, diameter, chord, secant, and tangent. - It describes properties of tangents, including that a tangent line is perpendicular to the radius and two tangents from the same exterior point are congruent. - It presents examples demonstrating identifying special segments and lines related to circles and using properties of tangents to solve problems.

1. KENDRIYA VIDYALAYA NEPANAGAR

2. MATHS PROJECT WORK

3. MADE BY: 1).AKSHAY FEGADE 2).ABHAY RAJPAL 3).ABHIJEET SINGH TOMAR 4).ANKIT MISHRA

4. Circles

5. 10.1 Tangents to Circles

15. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. c. EG – a tangent because it intersects the circle in one point.

30. Solution: (r + 8) 2 = r 2 + 16 2 Pythagorean Thm. Substitute values c 2 = a 2 + b 2 r 2 + 16r + 64 = r 2 + 256 Square of binomial 16r + 64 = 256 16r = 192 r = 12 Subtract r 2 from each side. Subtract 64 from each side. Divide. The radius of the silo is 12 feet.

36. Solution: x 2 + 2 11 = x 2 + 2 Two tangent segments from the same point are  Substitute values AB = AD 9 = x 2 Subtract 2 from each side. 3 = x Find the square root of 9. The value of x is 3 or -3.

37. THANK YOU!!!