1. Angle Measure & Segment Lengths
12.4
Angle Measure & Segment Lengths

2. 12.4 – Angle Meas. & Segment Lgth.
A secant is a line that intersects a circle at 2 points

3. 12.4 – Angle Meas. & Segment Lgth.
Angles formed by secants, tangents, and chords intercept arcs on circles. The measures of the intercepted arcs can help you find the measures of the angles.

4. 12.4 – Angle Meas. & Segment Lgth.
The measure of an angle formed by 2 lines that intersect INSIDE a circle =
(x + y) 1 2 x° y°

5. 12.4 – Angle Meas. & Segment Lgth.
The measure of an angle formed by 2 lines that intersect OUTSIDE a circle = 1 2
(x – y) x° y°

6. 12.4 – Angle Meas. & Segment Lgth.
Find x for each example x°
20°
95°
90°
46° x°

7. 12.4 – Angle Meas. & Segment Lgth.
Find x for each example x°
30°
110°
70°
110° x°

8. 12.4 – Angle Meas. & Segment Lgth.
Finding Segment Lengths inside or outside a circle a b c d
a * b = c * d
(w + x)w = (y + z)y x w y z

9. 12.4 – Angle Meas. & Segment Lgth.
Finding Segment Lengths inside or outside a circle z y t
(y + z)y = t 2

10. 12.4 – Angle Meas. & Segment Lgth
Find the missing variable.

11. 12.4 – Angle Meas. & Segment Lgth

12. 12.4 – Angle Meas. & Segment Lgth

13. 12.4 – Angle Meas. & Segment Lgth