The document summarizes key definitions and properties related to circles and tangents to circles: - It defines circles, radii, diameters, chords, secants, and tangents. It also defines tangent circles and common tangents. - It states theorems about tangents, including that a tangent line is perpendicular to the radius at the point of tangency, and a line perpendicular to the radius at a point on the circle is a tangent. - It gives examples demonstrating identifying special segments and lines related to circles, identifying common tangents, 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!!!