http://www.ck12.org Chapter 9. Circles
the inscribed angle and whose endpoints are on the angle. Atangentis a line that intersects a circle in exactly one
point. Thepoint of tangencyis the point where the tangent line touches the circle. Asecantis a line that intersects
a circle in two points.
Guided Practice
Findxin each diagram below. Simplify any radicals.
Answers:
Use the Tangent Secant Segment Theorem.
182 = 10 ( 10 +x)
324 = 100 + 10 x
224 = 10 x
x= 22. 4
2.
x^2 = 16 ( 16 + 25 )
x^2 = 656
x= 4
√
41
3.
x^2 = 24 ( 24 + 20 )
x^2 = 1056
x= 4
√
66
Practice
Solve for the missing segment.
1.
Findxin each diagram below. Simplify any radicals.
2.
3.
4.