1. CIRCLES AND SEGMENT MEASUREMENT
Section 10-7
Jim Smith
JCHS

2. COPY THESE NOTES AND DRAW THE DIAGRAMS
COPY THESE NOTES AND DRAW THE DIAGRAMS. USE THESE AND THE PRACTICE PROBLEMS AT THE END AS EXAMPLES FOR THE CLASS ASSIGNMENT

3. ab = cd a d c b THE PRODUCT OF THE PARTS OF ONE CHORD = THE PRODUCT
THE OTHER CHORD
ab = cd

4. 7 x 4 5
7x = 4(5)
7x = 20
7x= 20
7 7
X = 2.86

5. . Radius = 6, so one part= 6+x and the other part= 6-x The diameter is
FOIL 4
(6+x) (6-x) = 4∙4
36-x²=16
36-x²-36 = 16-36
-x²= -20
-x²/-1 = -20/-1
x² = 20
√x² = √20
X = 4.47
The diameter is
perpendicular to the chord, so it bisects the chord

6. Whole segment B A The outside part of segment AB x the
whole segment AB =
the outside part of
segment CB x the
whole segment CB C

7. 5 x 7 5(x+5) = 7(15+7) 15 5x+25 = 7(22) 5x+25 = 154 5x = 129 X = 25.8
Outside x Whole = Outside x Whole
5(x+5) = 7(15+7)
little+little = big 15
5x+25 = 7(22)
5x+25 = 154
5x = 129
X = 25.8

8. x
Tangent (the outside is also the whole) 4
Outside x Whole = Outside x Whole
x∙x = 4∙9 9
x² = 36
√x² = √36
X = 6
We know the whole so
we don’t need to add
the little parts

9. TRY THESE 1 2 X 8 X 7 3 5 5 14

10. Answers 1) 7X = 8(5) 7X = 40 X = 40/7 X = 5.71 2) 3(X+3) = 5(14)